64856448000 has 264 divisors, whose sum is σ = 233719090800. Its totient is φ = 17294745600.

The previous prime is 64856447993. The next prime is 64856448031. The reversal of 64856448000 is 84465846.

64856448000 is a `hidden beast` number, since 6 + 4 + 8 + 564 + 4 + 80 + 0 + 0 = 666.

64856448000 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1123851 + ... + 1180149.

Almost surely, 2^64856448000 is an apocalyptic number.

64856448000 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 64856448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116859545400).

64856448000 is an abundant number, since it is smaller than the sum of its proper divisors (168862642800).

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

64856448000 is a wasteful number, since it uses less digits than its factorization.

64856448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56340 (or 56309 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 64856448000 in words is "sixty-four billion, eight hundred fifty-six million, four hundred forty-eight thousand".