64579394880 has 2240 divisors, whose sum is σ = 327147448320. Its totient is φ = 11645337600.

The previous prime is 64579394843. The next prime is 64579394909. The reversal of 64579394880 is 8849397546.

64579394880 is a `hidden beast` number, since 6 + 457 + 93 + 94 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 492972415 + ... + 492972545.

It is an arithmetic number, because the mean of its divisors is an integer number (146047968).

Almost surely, 2^64579394880 is an apocalyptic number.

64579394880 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 64579394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163573724160).

64579394880 is an abundant number, since it is smaller than the sum of its proper divisors (262568053440).

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

64579394880 is a wasteful number, since it uses less digits than its factorization.

64579394880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 64579394880 in words is "sixty-four billion, five hundred seventy-nine million, three hundred ninety-four thousand, eight hundred eighty".