4980577890816 has 1440 divisors, whose sum is σ = 18202967310528. Its totient is φ = 1343453921280.

The previous prime is 4980577890811. The next prime is 4980577890823. The reversal of 4980577890816 is 6180987750894.

4980577890816 is a `hidden beast` number, since 49 + 8 + 0 + 577 + 8 + 9 + 0 + 8 + 1 + 6 = 666.

It is a super-2 number, since 2×4980577890816² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (4980577890811) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8398950616 + ... + 8398951208.

Almost surely, 2^{4980577890816} 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 4980577890816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9101483655264).

4980577890816 is an abundant number, since it is smaller than the sum of its proper divisors (13222389419712).

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

4980577890816 is a wasteful number, since it uses less digits than its factorization.

4980577890816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 72.

The spelling of 4980577890816 in words is "four trillion, nine hundred eighty billion, five hundred seventy-seven million, eight hundred ninety thousand, eight hundred sixteen".