64753920 has 432 divisors, whose sum is σ = 283151232. Its totient is φ = 13271040.

The previous prime is 64753889. The next prime is 64753933. The reversal of 64753920 is 2935746.

64753920 is a `hidden beast` number, since 647 + 5 + 3 + 9 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 887004 + ... + 887076.

Almost surely, 2^64753920 is an apocalyptic number.

64753920 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 64753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141575616).

64753920 is an abundant number, since it is smaller than the sum of its proper divisors (218397312).

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

64753920 is a wasteful number, since it uses less digits than its factorization.

64753920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 64753920 is about 8046.9820429774. The cubic root of 64753920 is about 401.5645392307.

The spelling of 64753920 in words is "sixty-four million, seven hundred fifty-three thousand, nine hundred twenty".