64360153728 has 576 divisors, whose sum is σ = 214315545600. Its totient is φ = 18477268992.

The previous prime is 64360153699. The next prime is 64360153751. The reversal of 64360153728 is 82735106346.

64360153728 is a `hidden beast` number, since 6 + 4 + 3 + 601 + 5 + 37 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 469782076 + ... + 469782212.

It is an arithmetic number, because the mean of its divisors is an integer number (372075600).

Almost surely, 2^64360153728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64360153728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107157772800).

64360153728 is an abundant number, since it is smaller than the sum of its proper divisors (149955391872).

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

64360153728 is a wasteful number, since it uses less digits than its factorization.

64360153728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 64360153728 in words is "sixty-four billion, three hundred sixty million, one hundred fifty-three thousand, seven hundred twenty-eight".