7413736988160 has 480 divisors, whose sum is σ = 26602311003840. Its totient is φ = 1905872338944.

The previous prime is 7413736988059. The next prime is 7413736988173. The reversal of 7413736988160 is 618896373147.

7413736988160 is a `hidden beast` number, since 7 + 4 + 1 + 37 + 369 + 88 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×7413736988160² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 449663437 + ... + 449679923.

It is an arithmetic number, because the mean of its divisors is an integer number (55421481258).

Almost surely, 2^{7413736988160} 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 7413736988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13301155501920).

7413736988160 is an abundant number, since it is smaller than the sum of its proper divisors (19188574015680).

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

7413736988160 is a wasteful number, since it uses less digits than its factorization.

7413736988160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17218 (or 17199 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 7413736988160 in words is "seven trillion, four hundred thirteen billion, seven hundred thirty-six million, nine hundred eighty-eight thousand, one hundred sixty".