4656677432 has 64 divisors (see below), whose sum is σ = 9806227200. Its totient is φ = 2054787840.

The previous prime is 4656677429. The next prime is 4656677437. The reversal of 4656677432 is 2347766564.

It is a super-2 number, since 2×4656677432² = 43369289411396229248, which contains 22 as substring.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4656677437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 628244 + ... + 635612.

It is an arithmetic number, because the mean of its divisors is an integer number (153222300).

Almost surely, 2^4656677432 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 4656677432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4903113600).

4656677432 is an abundant number, since it is smaller than the sum of its proper divisors (5149549768).

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

4656677432 is a wasteful number, since it uses less digits than its factorization.

4656677432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7596 (or 7592 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 50.

The square root of 4656677432 is about 68239.8522272726. The cubic root of 4656677432 is about 1669.9061025050.

The spelling of 4656677432 in words is "four billion, six hundred fifty-six million, six hundred seventy-seven thousand, four hundred thirty-two".