64124288384 has 64 divisors (see below), whose sum is σ = 137969790000. Its totient is φ = 29510756352.

The previous prime is 64124288383. The next prime is 64124288413. The reversal of 64124288384 is 48388242146.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×64124288384² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64124288383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 525527 + ... + 635945.

Almost surely, 2^64124288384 is an apocalyptic number.

64124288384 is a gapful number since it is divisible by the number (64) 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 64124288384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68984895000).

64124288384 is an abundant number, since it is smaller than the sum of its proper divisors (73845501616).

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

64124288384 is a wasteful number, since it uses less digits than its factorization.

64124288384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110795 (or 110783 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 50.

The spelling of 64124288384 in words is "sixty-four billion, one hundred twenty-four million, two hundred eighty-eight thousand, three hundred eighty-four".