4956994800 has 120 divisors (see below), whose sum is σ = 17643268080. Its totient is φ = 1321862400.

The previous prime is 4956994769. The next prime is 4956994813. The reversal of 4956994800 is 84996594.

4956994800 is a `hidden beast` number, since 495 + 69 + 94 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218691 + ... + 240290.

It is an arithmetic number, because the mean of its divisors is an integer number (147027234).

Almost surely, 2^4956994800 is an apocalyptic number.

4956994800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4956994800 is an abundant number, since it is smaller than the sum of its proper divisors (12686273280).

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

4956994800 is a wasteful number, since it uses less digits than its factorization.

4956994800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459008 (or 458991 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 4956994800 is about 70405.9287276292. The cubic root of 4956994800 is about 1705.0592996865.

The spelling of 4956994800 in words is "four billion, nine hundred fifty-six million, nine hundred ninety-four thousand, eight hundred".