64579513152 has 448 divisors, whose sum is σ = 218870784000. Its totient is φ = 16658933760.

The previous prime is 64579513151. The next prime is 64579513153. The reversal of 64579513152 is 25131597546.

It is an interprime number because it is at equal distance from previous prime (64579513151) and next prime (64579513153).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64579513151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173135238 + ... + 173135610.

Almost surely, 2^64579513152 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 64579513152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109435392000).

64579513152 is an abundant number, since it is smaller than the sum of its proper divisors (154291270848).

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

64579513152 is a wasteful number, since it uses less digits than its factorization.

64579513152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 635 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 48.

The spelling of 64579513152 in words is "sixty-four billion, five hundred seventy-nine million, five hundred thirteen thousand, one hundred fifty-two".