64257293520 has 400 divisors, whose sum is σ = 263290672128. Its totient is φ = 14213283840.

The previous prime is 64257293519. The next prime is 64257293531. The reversal of 64257293520 is 2539275246.

64257293520 is a `hidden beast` number, since 6 + 42 + 572 + 9 + 35 + 2 + 0 = 666.

64257293520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 1383312 + ... + 1429008.

Almost surely, 2^64257293520 is an apocalyptic number.

64257293520 is a gapful number since it is divisible by the number (60) 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 64257293520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131645336064).

64257293520 is an abundant number, since it is smaller than the sum of its proper divisors (199033378608).

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

64257293520 is a wasteful number, since it uses less digits than its factorization.

64257293520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45760 (or 45745 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 64257293520 in words is "sixty-four billion, two hundred fifty-seven million, two hundred ninety-three thousand, five hundred twenty".