47477127456 has 480 divisors, whose sum is σ = 158070528000. Its totient is φ = 13854758400.

The previous prime is 47477127443. The next prime is 47477127487. The reversal of 47477127456 is 65472177474.

It is a happy number.

47477127456 is a `hidden beast` number, since 4 + 7 + 477 + 127 + 45 + 6 = 666.

47477127456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 95144295 + ... + 95144793.

It is an arithmetic number, because the mean of its divisors is an integer number (329313600).

Almost surely, 2^47477127456 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 47477127456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79035264000).

47477127456 is an abundant number, since it is smaller than the sum of its proper divisors (110593400544).

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

47477127456 is a wasteful number, since it uses less digits than its factorization.

47477127456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 633 counting only the distinct ones).

The product of its digits is 9219840, while the sum is 54.

The spelling of 47477127456 in words is "forty-seven billion, four hundred seventy-seven million, one hundred twenty-seven thousand, four hundred fifty-six".