4672477656 has 128 divisors (see below), whose sum is σ = 16181798400. Its totient is φ = 1213626240.

The previous prime is 4672477637. The next prime is 4672477657. The reversal of 4672477656 is 6567742764.

4672477656 is a `hidden beast` number, since 46 + 72 + 477 + 65 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4672477657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123835 + ... + 157098.

It is an arithmetic number, because the mean of its divisors is an integer number (126420300).

Almost surely, 2^4672477656 is an apocalyptic number.

It is an amenable number.

4672477656 is an abundant number, since it is smaller than the sum of its proper divisors (11509320744).

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

4672477656 is a wasteful number, since it uses less digits than its factorization.

4672477656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280966 (or 280956 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 54.

The square root of 4672477656 is about 68355.5239611255. The cubic root of 4672477656 is about 1671.7926482561.

The spelling of 4672477656 in words is "four billion, six hundred seventy-two million, four hundred seventy-seven thousand, six hundred fifty-six".