64892056320 has 1296 divisors, whose sum is σ = 290076958080. Its totient is φ = 13265731584.

The previous prime is 64892056301. The next prime is 64892056331. The reversal of 64892056320 is 2365029846.

64892056320 is a `hidden beast` number, since 6 + 4 + 8 + 9 + 2 + 0 + 5 + 632 + 0 = 666.

64892056320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 271514761 + ... + 271514999.

Almost surely, 2^64892056320 is an apocalyptic number.

64892056320 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 64892056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145038479040).

64892056320 is an abundant number, since it is smaller than the sum of its proper divisors (225184901760).

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

64892056320 is a wasteful number, since it uses less digits than its factorization.

64892056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 64892056320 in words is "sixty-four billion, eight hundred ninety-two million, fifty-six thousand, three hundred twenty".