64120896000 has 1920 divisors, whose sum is σ = 297420963840. Its totient is φ = 13436928000.

The previous prime is 64120895999. The next prime is 64120896023. The reversal of 64120896000 is 69802146.

64120896000 is a `hidden beast` number, since 6 + 41 + 2 + 0 + 8 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×64120896000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 191 ways as a sum of consecutive naturals, for example, 2068415985 + ... + 2068416015.

It is an arithmetic number, because the mean of its divisors is an integer number (154906752).

Almost surely, 2^64120896000 is an apocalyptic number.

64120896000 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 64120896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148710481920).

64120896000 is an abundant number, since it is smaller than the sum of its proper divisors (233300067840).

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

64120896000 is an equidigital number, since it uses as much as digits as its factorization.

64120896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 64120896000 in words is "sixty-four billion, one hundred twenty million, eight hundred ninety-six thousand".