64200568320000 has 4680 divisors, whose sum is σ = 294657278675760. Its totient is φ = 13377208320000.

The previous prime is 64200568319989. The next prime is 64200568320011. The reversal of 64200568320000 is 2386500246.

64200568320000 is a `hidden beast` number, since 64 + 2 + 0 + 0 + 568 + 32 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (64200568319989) and next prime (64200568320011).

It is a super-2 number, since 2×64200568320000² (a number of 28 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 polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 879459839964 + ... + 879459840036.

It is an arithmetic number, because the mean of its divisors is an integer number (62960956982).

Almost surely, 2^{64200568320000} is an apocalyptic number.

64200568320000 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 64200568320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147328639337880).

64200568320000 is an abundant number, since it is smaller than the sum of its proper divisors (230456710355760).

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

64200568320000 is a wasteful number, since it uses less digits than its factorization.

64200568320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 64200568320000 in words is "sixty-four trillion, two hundred billion, five hundred sixty-eight million, three hundred twenty thousand".