8137346736 has 80 divisors (see below), whose sum is σ = 21761464320. Its totient is φ = 2617466880.

The previous prime is 8137346641. The next prime is 8137346741. The reversal of 8137346736 is 6376437318.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 526576 + ... + 541808.

It is an arithmetic number, because the mean of its divisors is an integer number (272018304).

Almost surely, 2^8137346736 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 8137346736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10880732160).

8137346736 is an abundant number, since it is smaller than the sum of its proper divisors (13624117584).

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

8137346736 is a wasteful number, since it uses less digits than its factorization.

8137346736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15634 (or 15628 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 48.

The square root of 8137346736 is about 90207.2432568472. The cubic root of 8137346736 is about 2011.3806785756.

The spelling of 8137346736 in words is "eight billion, one hundred thirty-seven million, three hundred forty-six thousand, seven hundred thirty-six".