8730151920 has 320 divisors, whose sum is σ = 36176256000. Its totient is φ = 1890376704.

The previous prime is 8730151919. The next prime is 8730151931. The reversal of 8730151920 is 291510378.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 272086 + ... + 302474.

It is an arithmetic number, because the mean of its divisors is an integer number (113050800).

Almost surely, 2^8730151920 is an apocalyptic number.

8730151920 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 8730151920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18088128000).

8730151920 is an abundant number, since it is smaller than the sum of its proper divisors (27446104080).

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

8730151920 is a wasteful number, since it uses less digits than its factorization.

8730151920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30437 (or 30425 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 8730151920 is about 93435.2819870524. The cubic root of 8730151920 is about 2059.0833826949.

The spelling of 8730151920 in words is "eight billion, seven hundred thirty million, one hundred fifty-one thousand, nine hundred twenty".