64393056000 has 1944 divisors, whose sum is σ = 302672404944. Its totient is φ = 13586227200.

The previous prime is 64393055959. The next prime is 64393056031. The reversal of 64393056000 is 65039346.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

64393056000 is a `hidden beast` number, since 6 + 4 + 3 + 93 + 0 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a super-2 number, since 2×64393056000² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4953311994 + ... + 4953312006.

Almost surely, 2^64393056000 is an apocalyptic number.

64393056000 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 64393056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151336202472).

64393056000 is an abundant number, since it is smaller than the sum of its proper divisors (238279348944).

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

64393056000 is an equidigital number, since it uses as much as digits as its factorization.

64393056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 64393056000 in words is "sixty-four billion, three hundred ninety-three million, fifty-six thousand".