64375879680 has 1536 divisors, whose sum is σ = 286820352000. Its totient is φ = 13377208320.

The previous prime is 64375879609. The next prime is 64375879691. The reversal of 64375879680 is 8697857346.

64375879680 is a `hidden beast` number, since 6 + 43 + 7 + 587 + 9 + 6 + 8 + 0 = 666.

64375879680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1739888622 + ... + 1739888658.

It is an arithmetic number, because the mean of its divisors is an integer number (186732000).

Almost surely, 2^64375879680 is an apocalyptic number.

64375879680 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 64375879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143410176000).

64375879680 is an abundant number, since it is smaller than the sum of its proper divisors (222444472320).

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

64375879680 is a wasteful number, since it uses less digits than its factorization.

64375879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 64375879680 in words is "sixty-four billion, three hundred seventy-five million, eight hundred seventy-nine thousand, six hundred eighty".