64126657152 has 256 divisors, whose sum is σ = 194959699200. Its totient is φ = 20735668224.

The previous prime is 64126657057. The next prime is 64126657159. The reversal of 64126657152 is 25175662146.

64126657152 is a `hidden beast` number, since 6 + 4 + 1 + 26 + 6 + 571 + 52 = 666.

64126657152 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 2×64126657152² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64126657098 and 64126657107.

It is not an unprimeable number, because it can be changed into a prime (64126657159) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64319118 + ... + 64320114.

It is an arithmetic number, because the mean of its divisors is an integer number (761561325).

Almost surely, 2^64126657152 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 64126657152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97479849600).

64126657152 is an abundant number, since it is smaller than the sum of its proper divisors (130833042048).

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

64126657152 is a wasteful number, since it uses less digits than its factorization.

64126657152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1542 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

It can be divided in two parts, 6412 and 6657152, that multiplied together give a palindrome (42685658624).

The spelling of 64126657152 in words is "sixty-four billion, one hundred twenty-six million, six hundred fifty-seven thousand, one hundred fifty-two".