7380181831680 has 1664 divisors, whose sum is σ = 33426199756800. Its totient is φ = 1503853019136.

The previous prime is 7380181831667. The next prime is 7380181831709. The reversal of 7380181831680 is 861381810837.

It is a happy number.

7380181831680 is a `hidden beast` number, since 7 + 380 + 1 + 8 + 183 + 1 + 6 + 80 = 666.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1250239609 + ... + 1250245511.

Almost surely, 2^{7380181831680} is an apocalyptic number.

7380181831680 is a gapful number since it is divisible by the number (70) 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 7380181831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16713099878400).

7380181831680 is an abundant number, since it is smaller than the sum of its proper divisors (26046017925120).

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

7380181831680 is a wasteful number, since it uses less digits than its factorization.

7380181831680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5984 (or 5956 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 7380181831680 in words is "seven trillion, three hundred eighty billion, one hundred eighty-one million, eight hundred thirty-one thousand, six hundred eighty".