8737972320 has 768 divisors, whose sum is σ = 37762744320. Its totient is φ = 1642291200.

The previous prime is 8737972303. The next prime is 8737972361. The reversal of 8737972320 is 232797378.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8737972320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16151250 + ... + 16151790.

It is an arithmetic number, because the mean of its divisors is an integer number (49170240).

Almost surely, 2^8737972320 is an apocalyptic number.

8737972320 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 8737972320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18881372160).

8737972320 is an abundant number, since it is smaller than the sum of its proper divisors (29024772000).

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

8737972320 is a wasteful number, since it uses less digits than its factorization.

8737972320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 48.

The square root of 8737972320 is about 93477.1219069137. The cubic root of 8737972320 is about 2059.6980359853.

The spelling of 8737972320 in words is "eight billion, seven hundred thirty-seven million, nine hundred seventy-two thousand, three hundred twenty".