6272456047056 has 400 divisors, whose sum is σ = 19358588113920. Its totient is φ = 1953908490240.

The previous prime is 6272456047019. The next prime is 6272456047111. The reversal of 6272456047056 is 6507406542726.

6272456047056 is a `hidden beast` number, since 6 + 2 + 7 + 2 + 4 + 560 + 4 + 70 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6272456046993 and 6272456047011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3109793760 + ... + 3109795776.

Almost surely, 2^{6272456047056} 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 6272456047056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9679294056960).

6272456047056 is an abundant number, since it is smaller than the sum of its proper divisors (13086132066864).

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

6272456047056 is a wasteful number, since it uses less digits than its factorization.

6272456047056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2984 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 6272456047056 in words is "six trillion, two hundred seventy-two billion, four hundred fifty-six million, forty-seven thousand, fifty-six".