6275138014656 has 672 divisors, whose sum is σ = 23168628288000. Its totient is φ = 1580628639744.

The previous prime is 6275138014591. The next prime is 6275138014669. The reversal of 6275138014656 is 6564108315726.

It is a happy number.

6275138014656 is a `hidden beast` number, since 6 + 2 + 7 + 513 + 80 + 1 + 46 + 5 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115880835 + ... + 115934973.

Almost surely, 2^{6275138014656} 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 6275138014656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11584314144000).

6275138014656 is an abundant number, since it is smaller than the sum of its proper divisors (16893490273344).

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

6275138014656 is a wasteful number, since it uses less digits than its factorization.

6275138014656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54289 (or 54276 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 6275138014656 in words is "six trillion, two hundred seventy-five billion, one hundred thirty-eight million, fourteen thousand, six hundred fifty-six".