64629685128000 has 896 divisors, whose sum is σ = 237716802086400. Its totient is φ = 15395831808000.

The previous prime is 64629685127993. The next prime is 64629685128053. The reversal of 64629685128000 is 82158692646.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 698041710 + ... + 698134290.

It is an arithmetic number, because the mean of its divisors is an integer number (265308930900).

Almost surely, 2^{64629685128000} is an apocalyptic number.

64629685128000 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 64629685128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118858401043200).

64629685128000 is an abundant number, since it is smaller than the sum of its proper divisors (173087116958400).

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

64629685128000 is a wasteful number, since it uses less digits than its factorization.

64629685128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92716 (or 92696 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 64629685128000 in words is "sixty-four trillion, six hundred twenty-nine billion, six hundred eighty-five million, one hundred twenty-eight thousand".