47656080446688 has 768 divisors, whose sum is σ = 169444251648000. Its totient is φ = 12727767250944.

The previous prime is 47656080446687. The next prime is 47656080446731. The reversal of 47656080446688 is 88664408065674.

47656080446688 is a `hidden beast` number, since 4 + 7 + 6 + 5 + 6 + 0 + 80 + 4 + 466 + 88 = 666.

It is a super-2 number, since 2×47656080446688² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47656080446687) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8765139906 + ... + 8765145342.

It is an arithmetic number, because the mean of its divisors is an integer number (220630536000).

Almost surely, 2^{47656080446688} is an apocalyptic number.

47656080446688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47656080446688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84722125824000).

47656080446688 is an abundant number, since it is smaller than the sum of its proper divisors (121788171201312).

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

47656080446688 is a wasteful number, since it uses less digits than its factorization.

47656080446688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6484 (or 6470 counting only the distinct ones).

The product of its (nonzero) digits is 1486356480, while the sum is 72.

The spelling of 47656080446688 in words is "forty-seven trillion, six hundred fifty-six billion, eighty million, four hundred forty-six thousand, six hundred eighty-eight".