64126270656 has 672 divisors, whose sum is σ = 232616337408. Its totient is φ = 16469360640.

The previous prime is 64126270651. The next prime is 64126270661. The reversal of 64126270656 is 65607262146.

64126270656 is a `hidden beast` number, since 6 + 4 + 12 + 627 + 0 + 6 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (64126270651) and next prime (64126270661).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×64126270656² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64126270651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 218860846 + ... + 218861138.

It is an arithmetic number, because the mean of its divisors is an integer number (346155264).

Almost surely, 2^64126270656 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 64126270656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116308168704).

64126270656 is an abundant number, since it is smaller than the sum of its proper divisors (168490066752).

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

64126270656 is a wasteful number, since it uses less digits than its factorization.

64126270656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 456 counting only the distinct ones).

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

The spelling of 64126270656 in words is "sixty-four billion, one hundred twenty-six million, two hundred seventy thousand, six hundred fifty-six".