64116396892800 has 3072 divisors, whose sum is σ = 292524927206400. Its totient is φ = 13382304399360.

The previous prime is 64116396892799. The next prime is 64116396892861. The reversal of 64116396892800 is 829869361146.

64116396892800 is a `hidden beast` number, since 6 + 411 + 63 + 9 + 6 + 89 + 2 + 80 + 0 = 666.

It is a super-2 number, since 2×64116396892800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 52857704994 + ... + 52857706206.

It is an arithmetic number, because the mean of its divisors is an integer number (95222958075).

Almost surely, 2^{64116396892800} is an apocalyptic number.

64116396892800 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 64116396892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146262463603200).

64116396892800 is an abundant number, since it is smaller than the sum of its proper divisors (228408530313600).

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

64116396892800 is a wasteful number, since it uses less digits than its factorization.

64116396892800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 64116396892800 in words is "sixty-four trillion, one hundred sixteen billion, three hundred ninety-six million, eight hundred ninety-two thousand, eight hundred".