8661733920 has 1152 divisors, whose sum is σ = 39093062400. Its totient is φ = 1777434624.

The previous prime is 8661733907. The next prime is 8661733943. The reversal of 8661733920 is 293371668.

8661733920 is a `hidden beast` number, since 8 + 6 + 617 + 3 + 3 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 104358199 + ... + 104358281.

It is an arithmetic number, because the mean of its divisors is an integer number (33934950).

Almost surely, 2^8661733920 is an apocalyptic number.

8661733920 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 8661733920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19546531200).

8661733920 is an abundant number, since it is smaller than the sum of its proper divisors (30431328480).

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

8661733920 is a wasteful number, since it uses less digits than its factorization.

8661733920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 8661733920 is about 93068.4367548956. The cubic root of 8661733920 is about 2053.6902731179.

The spelling of 8661733920 in words is "eight billion, six hundred sixty-one million, seven hundred thirty-three thousand, nine hundred twenty".