4902544579968 has 768 divisors, whose sum is σ = 17592006781440. Its totient is φ = 1329539235840.

The previous prime is 4902544579951. The next prime is 4902544580023. The reversal of 4902544579968 is 8699754452094.

4902544579968 is a `hidden beast` number, since 4 + 9 + 0 + 2 + 5 + 44 + 579 + 9 + 6 + 8 = 666.

It is a super-2 number, since 2×4902544579968² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4902544579896 and 4902544579905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 330285955 + ... + 330300797.

It is an arithmetic number, because the mean of its divisors is an integer number (22906258830).

Almost surely, 2^{4902544579968} is an apocalyptic number.

4902544579968 is a gapful number since it is divisible by the number (48) 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 4902544579968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8796003390720).

4902544579968 is an abundant number, since it is smaller than the sum of its proper divisors (12689462201472).

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

4902544579968 is a wasteful number, since it uses less digits than its factorization.

4902544579968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14957 (or 14933 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 4902544579968 in words is "four trillion, nine hundred two billion, five hundred forty-four million, five hundred seventy-nine thousand, nine hundred sixty-eight".