64124451072 has 432 divisors, whose sum is σ = 213606993600. Its totient is φ = 18316247040.

The previous prime is 64124451067. The next prime is 64124451229. The reversal of 64124451072 is 27015442146.

64124451072 is a `hidden beast` number, since 64 + 12 + 4 + 4 + 510 + 72 = 666.

64124451072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×64124451072² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31602954 + ... + 31604982.

Almost surely, 2^64124451072 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 64124451072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106803496800).

64124451072 is an abundant number, since it is smaller than the sum of its proper divisors (149482542528).

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

64124451072 is a wasteful number, since it uses less digits than its factorization.

64124451072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 64124451072 in words is "sixty-four billion, one hundred twenty-four million, four hundred fifty-one thousand, seventy-two".