64945152000 has 896 divisors, whose sum is σ = 251485603200. Its totient is φ = 16721510400.

The previous prime is 64945151987. The next prime is 64945152091. The reversal of 64945152000 is 25154946.

64945152000 is a `hidden beast` number, since 649 + 4 + 5 + 1 + 5 + 2 + 0 + 0 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 2239487986 + ... + 2239488014.

Almost surely, 2^64945152000 is an apocalyptic number.

64945152000 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 64945152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125742801600).

64945152000 is an abundant number, since it is smaller than the sum of its proper divisors (186540451200).

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

64945152000 is an frugal number, since it uses more digits than its factorization.

64945152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 64945152000 in words is "sixty-four billion, nine hundred forty-five million, one hundred fifty-two thousand".