8930400732 has 288 divisors, whose sum is σ = 26206322688. Its totient is φ = 2540160000.

The previous prime is 8930400719. The next prime is 8930400751. The reversal of 8930400732 is 2370040398.

It is a super-2 number, since 2×8930400732² (a number of 21 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 70318053 + ... + 70318179.

It is an arithmetic number, because the mean of its divisors is an integer number (90994176).

Almost surely, 2^8930400732 is an apocalyptic number.

8930400732 is a gapful number since it is divisible by the number (82) 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 8930400732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13103161344).

8930400732 is an abundant number, since it is smaller than the sum of its proper divisors (17275921956).

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

8930400732 is a wasteful number, since it uses less digits than its factorization.

8930400732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 8930400732 is about 94500.7975204442. The cubic root of 8930400732 is about 2074.7080041629.

The spelling of 8930400732 in words is "eight billion, nine hundred thirty million, four hundred thousand, seven hundred thirty-two".