8137973760 has 224 divisors, whose sum is σ = 29763061632. Its totient is φ = 1859911680.

The previous prime is 8137973743. The next prime is 8137973777. The reversal of 8137973760 is 673797318.

It is an interprime number because it is at equal distance from previous prime (8137973743) and next prime (8137973777).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 855430 + ... + 864890.

Almost surely, 2^8137973760 is an apocalyptic number.

8137973760 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 8137973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14881530816).

8137973760 is an abundant number, since it is smaller than the sum of its proper divisors (21625087872).

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

8137973760 is an equidigital number, since it uses as much as digits as its factorization.

8137973760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9502 (or 9478 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 51.

The square root of 8137973760 is about 90210.7186536057. The cubic root of 8137973760 is about 2011.4323396230.

The spelling of 8137973760 in words is "eight billion, one hundred thirty-seven million, nine hundred seventy-three thousand, seven hundred sixty".