1649924640 has 480 divisors, whose sum is σ = 7171718400. Its totient is φ = 347867136.

The previous prime is 1649924629. The next prime is 1649924651. The reversal of 1649924640 is 464299461.

It is an interprime number because it is at equal distance from previous prime (1649924629) and next prime (1649924651).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1178661 + ... + 1180059.

It is an arithmetic number, because the mean of its divisors is an integer number (14941080).

Almost surely, 2^1649924640 is an apocalyptic number.

1649924640 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 1649924640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3585859200).

1649924640 is an abundant number, since it is smaller than the sum of its proper divisors (5521793760).

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

1649924640 is a wasteful number, since it uses less digits than its factorization.

1649924640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 1649924640 is about 40619.2643951118. The cubic root of 1649924640 is about 1181.6477602278.

The spelling of 1649924640 in words is "one billion, six hundred forty-nine million, nine hundred twenty-four thousand, six hundred forty".