4677375456 has 240 divisors, whose sum is σ = 14944495104. Its totient is φ = 1426553856.

The previous prime is 4677375413. The next prime is 4677375463. The reversal of 4677375456 is 6545737764.

It is a happy number.

4677375456 is a `hidden beast` number, since 4 + 67 + 7 + 37 + 545 + 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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4278846 + ... + 4279938.

Almost surely, 2^4677375456 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 4677375456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7472247552).

4677375456 is an abundant number, since it is smaller than the sum of its proper divisors (10267119648).

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

4677375456 is a wasteful number, since it uses less digits than its factorization.

4677375456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1238 counting only the distinct ones).

The product of its digits is 14817600, while the sum is 54.

The square root of 4677375456 is about 68391.3405044820. The cubic root of 4677375456 is about 1672.3765816146.

The spelling of 4677375456 in words is "four billion, six hundred seventy-seven million, three hundred seventy-five thousand, four hundred fifty-six".