4902635692800 has 648 divisors, whose sum is σ = 18920959293600. Its totient is φ = 1207396270080.

The previous prime is 4902635692711. The next prime is 4902635692817. The reversal of 4902635692800 is 82965362094.

It is a happy number.

4902635692800 is a `hidden beast` number, since 4 + 9 + 0 + 2 + 6 + 356 + 9 + 280 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38355396 + ... + 38483004.

Almost surely, 2^{4902635692800} is an apocalyptic number.

4902635692800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4902635692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9460479646800).

4902635692800 is an abundant number, since it is smaller than the sum of its proper divisors (14018323600800).

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

4902635692800 is a wasteful number, since it uses less digits than its factorization.

4902635692800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127693 (or 127671 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 4902635692800 in words is "four trillion, nine hundred two billion, six hundred thirty-five million, six hundred ninety-two thousand, eight hundred".