8737642368 has 640 divisors, whose sum is σ = 32798589600. Its totient is φ = 2304433152.

The previous prime is 8737642367. The next prime is 8737642369. The reversal of 8737642368 is 8632467378.

It is an interprime number because it is at equal distance from previous prime (8737642367) and next prime (8737642369).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8737642367) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 672126330 + ... + 672126342.

Almost surely, 2^8737642368 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 8737642368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16399294800).

8737642368 is an abundant number, since it is smaller than the sum of its proper divisors (24060947232).

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

8737642368 is an frugal number, since it uses more digits than its factorization.

8737642368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 25 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The square root of 8737642368 is about 93475.3570092139. The cubic root of 8737642368 is about 2059.6721104419.

The spelling of 8737642368 in words is "eight billion, seven hundred thirty-seven million, six hundred forty-two thousand, three hundred sixty-eight".