4956738600 has 96 divisors (see below), whose sum is σ = 16762811040. Its totient is φ = 1201632000.

The previous prime is 4956738593. The next prime is 4956738607. The reversal of 4956738600 is 68376594.

It is an interprime number because it is at equal distance from previous prime (4956738593) and next prime (4956738607).

It is a self number, because there is not a number n which added to its sum of digits gives 4956738600.

It is not an unprimeable number, because it can be changed into a prime (4956738607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 368911 + ... + 382110.

It is an arithmetic number, because the mean of its divisors is an integer number (174612615).

Almost surely, 2^4956738600 is an apocalyptic number.

4956738600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4956738600 is an abundant number, since it is smaller than the sum of its proper divisors (11806072440).

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

4956738600 is a wasteful number, since it uses less digits than its factorization.

4956738600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751051 (or 751042 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 4956738600 is about 70404.1092550712. The cubic root of 4956738600 is about 1705.0299241114.

The spelling of 4956738600 in words is "four billion, nine hundred fifty-six million, seven hundred thirty-eight thousand, six hundred".