64047960000 has 420 divisors, whose sum is σ = 232097580000. Its totient is φ = 16879104000.

The previous prime is 64047959993. The next prime is 64047960017. The reversal of 64047960000 is 6974046.

64047960000 is a `hidden beast` number, since 6 + 4 + 0 + 47 + 9 + 600 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32039001 + ... + 32040999.

Almost surely, 2^64047960000 is an apocalyptic number.

64047960000 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 64047960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116048790000).

64047960000 is an abundant number, since it is smaller than the sum of its proper divisors (168049620000).

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

64047960000 is a wasteful number, since it uses less digits than its factorization.

64047960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 64047960000 in words is "sixty-four billion, forty-seven million, nine hundred sixty thousand".