8729370624 has 224 divisors, whose sum is σ = 25431658560. Its totient is φ = 2647130112.

The previous prime is 8729370607. The next prime is 8729370641. The reversal of 8729370624 is 4260739278.

It is an interprime number because it is at equal distance from previous prime (8729370607) and next prime (8729370641).

It is a super-2 number, since 2×8729370624² (a number of 21 digits) contains 22 as substring.

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, 28434279 + ... + 28434585.

It is an arithmetic number, because the mean of its divisors is an integer number (113534190).

Almost surely, 2^8729370624 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 8729370624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12715829280).

8729370624 is an abundant number, since it is smaller than the sum of its proper divisors (16702287936).

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

8729370624 is a wasteful number, since it uses less digits than its factorization.

8729370624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 8729370624 is about 93431.1009460982. The cubic root of 8729370624 is about 2059.0219556767.

The spelling of 8729370624 in words is "eight billion, seven hundred twenty-nine million, three hundred seventy thousand, six hundred twenty-four".