9674665920 has 336 divisors, whose sum is σ = 34948368000. Its totient is φ = 2547127296.

The previous prime is 9674665919. The next prime is 9674665981. The reversal of 9674665920 is 295664769.

9674665920 is a `hidden beast` number, since 9 + 6 + 7 + 46 + 6 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6453331 + ... + 6454829.

It is an arithmetic number, because the mean of its divisors is an integer number (104013000).

Almost surely, 2^9674665920 is an apocalyptic number.

9674665920 is a gapful number since it is divisible by the number (90) 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 9674665920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17474184000).

9674665920 is an abundant number, since it is smaller than the sum of its proper divisors (25273702080).

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

9674665920 is a wasteful number, since it uses less digits than its factorization.

9674665920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 9674665920 is about 98359.8796257905. The cubic root of 9674665920 is about 2130.8129410305.

The spelling of 9674665920 in words is "nine billion, six hundred seventy-four million, six hundred sixty-five thousand, nine hundred twenty".