8137190880 has 576 divisors, whose sum is σ = 35690518080. Its totient is φ = 1716277248.

The previous prime is 8137190869. The next prime is 8137190921. The reversal of 8137190880 is 880917318.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2750362 + ... + 2753318.

It is an arithmetic number, because the mean of its divisors is an integer number (61962705).

Almost surely, 2^8137190880 is an apocalyptic number.

8137190880 is a gapful number since it is divisible by the number (80) 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 8137190880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17845259040).

8137190880 is an abundant number, since it is smaller than the sum of its proper divisors (27553327200).

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

8137190880 is a wasteful number, since it uses less digits than its factorization.

8137190880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3008 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 8137190880 is about 90206.3793752970. The cubic root of 8137190880 is about 2011.3678370537.

The spelling of 8137190880 in words is "eight billion, one hundred thirty-seven million, one hundred ninety thousand, eight hundred eighty".