9120007692 has 144 divisors (see below), whose sum is σ = 24040074240. Its totient is φ = 2913120000.

The previous prime is 9120007661. The next prime is 9120007693. The reversal of 9120007692 is 2967000219.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (9120007693) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36334567 + ... + 36334817.

It is an arithmetic number, because the mean of its divisors is an integer number (166944960).

Almost surely, 2^9120007692 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 9120007692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12020037120).

9120007692 is an abundant number, since it is smaller than the sum of its proper divisors (14920066548).

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

9120007692 is a wasteful number, since it uses less digits than its factorization.

9120007692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 9120007692 is about 95498.7313633014. The cubic root of 9120007692 is about 2089.2884410276.

The spelling of 9120007692 in words is "nine billion, one hundred twenty million, seven thousand, six hundred ninety-two".