1640715264 has 220 divisors, whose sum is σ = 4969591968. Its totient is φ = 539136000.

The previous prime is 1640715259. The next prime is 1640715277. The reversal of 1640715264 is 4625170461.

1640715264 is a `hidden beast` number, since 1 + 64 + 0 + 71 + 526 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10865589 + ... + 10865739.

Almost surely, 2^1640715264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1640715264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484795984).

1640715264 is an abundant number, since it is smaller than the sum of its proper divisors (3328876704).

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

1640715264 is a wasteful number, since it uses less digits than its factorization.

1640715264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1640715264 is about 40505.7435927302. The cubic root of 1640715264 is about 1179.4451245456.

The spelling of 1640715264 in words is "one billion, six hundred forty million, seven hundred fifteen thousand, two hundred sixty-four".