1825424640 has 576 divisors, whose sum is σ = 7417267200. Its totient is φ = 421134336.

The previous prime is 1825424617. The next prime is 1825424663. The reversal of 1825424640 is 464245281.

1825424640 is a `hidden beast` number, since 1 + 8 + 2 + 5 + 4 + 2 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (1825424617) and next prime (1825424663).

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1825424595 and 1825424604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7637641 + ... + 7637879.

It is an arithmetic number, because the mean of its divisors is an integer number (12877200).

Almost surely, 2^1825424640 is an apocalyptic number.

1825424640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1825424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3708633600).

1825424640 is an abundant number, since it is smaller than the sum of its proper divisors (5591842560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1825424640 is a wasteful number, since it uses less digits than its factorization.

1825424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 1825424640 is about 42724.9884727896. The cubic root of 1825424640 is about 1222.1409687520.

The spelling of 1825424640 in words is "one billion, eight hundred twenty-five million, four hundred twenty-four thousand, six hundred forty".