1825607384640 has 672 divisors, whose sum is σ = 7043473238400. Its totient is φ = 444895027200.

The previous prime is 1825607384609. The next prime is 1825607384647. The reversal of 1825607384640 is 464837065281.

It is a happy number.

1825607384640 is a `hidden beast` number, since 1 + 8 + 2 + 560 + 7 + 38 + 4 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1825607384647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147469971 + ... + 147482349.

Almost surely, 2^{1825607384640} is an apocalyptic number.

1825607384640 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 1825607384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3521736619200).

1825607384640 is an abundant number, since it is smaller than the sum of its proper divisors (5217865853760).

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

1825607384640 is a wasteful number, since it uses less digits than its factorization.

1825607384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12532 (or 12503 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 1825607384640 in words is "one trillion, eight hundred twenty-five billion, six hundred seven million, three hundred eighty-four thousand, six hundred forty".