64569600000 has 864 divisors, whose sum is σ = 249523092000. Its totient is φ = 16035840000.

The previous prime is 64569599977. The next prime is 64569600001. The reversal of 64569600000 is 696546.

It is a happy number.

64569600000 is a `hidden beast` number, since 6 + 45 + 6 + 9 + 600 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (64569600001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1094399971 + ... + 1094400029.

It is an arithmetic number, because the mean of its divisors is an integer number (288799875).

Almost surely, 2^64569600000 is an apocalyptic number.

64569600000 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 64569600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124761546000).

64569600000 is an abundant number, since it is smaller than the sum of its proper divisors (184953492000).

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

64569600000 is an equidigital number, since it uses as much as digits as its factorization.

64569600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 64569600000 in words is "sixty-four billion, five hundred sixty-nine million, six hundred thousand".