64756961280 has 936 divisors, whose sum is σ = 264197100960. Its totient is φ = 14509670400.

The previous prime is 64756961263. The next prime is 64756961281. The reversal of 64756961280 is 8216965746.

64756961280 is a `hidden beast` number, since 6 + 475 + 6 + 96 + 1 + 2 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64756961281) 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, 1579438060 + ... + 1579438100.

It is an arithmetic number, because the mean of its divisors is an integer number (282261860).

Almost surely, 2^64756961280 is an apocalyptic number.

64756961280 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 64756961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132098550480).

64756961280 is an abundant number, since it is smaller than the sum of its proper divisors (199440139680).

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

64756961280 is a wasteful number, since it uses less digits than its factorization.

64756961280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 64756961280 in words is "sixty-four billion, seven hundred fifty-six million, nine hundred sixty-one thousand, two hundred eighty".