64081573920 has 576 divisors, whose sum is σ = 271269782784. Its totient is φ = 13413703680.

The previous prime is 64081573903. The next prime is 64081573939. The reversal of 64081573920 is 2937518046.

64081573920 is a `hidden beast` number, since 6 + 408 + 157 + 3 + 92 + 0 = 666.

64081573920 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17164374 + ... + 17168106.

It is an arithmetic number, because the mean of its divisors is an integer number (470954484).

It is a 1-persistent number, because it is pandigital, but 2⋅64081573920 = 128163147840 is not.

Almost surely, 2^64081573920 is an apocalyptic number.

64081573920 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 64081573920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135634891392).

64081573920 is an abundant number, since it is smaller than the sum of its proper divisors (207188208864).

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

64081573920 is a wasteful number, since it uses less digits than its factorization.

64081573920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3905 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 64081573920 in words is "sixty-four billion, eighty-one million, five hundred seventy-three thousand, nine hundred twenty".