4777633457344 has 56 divisors (see below), whose sum is σ = 10442903298048. Its totient is φ = 2150567543040.

The previous prime is 4777633457339. The next prime is 4777633457347. The reversal of 4777633457344 is 4437543367774.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (4777633457347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32871232 + ... + 33016255.

Almost surely, 2^{4777633457344} is an apocalyptic number.

4777633457344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4777633457344 is an abundant number, since it is smaller than the sum of its proper divisors (5665269840704).

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

4777633457344 is a wasteful number, since it uses less digits than its factorization.

4777633457344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65887613 (or 65887603 counting only the distinct ones).

The product of its digits is 497871360, while the sum is 64.

The spelling of 4777633457344 in words is "four trillion, seven hundred seventy-seven billion, six hundred thirty-three million, four hundred fifty-seven thousand, three hundred forty-four".