7659961920 has 336 divisors, whose sum is σ = 28649340720. Its totient is φ = 1867235328.

The previous prime is 7659961913. The next prime is 7659961973. The reversal of 7659961920 is 291699567.

It can be written as a sum of positive squares in 8 ways, for example, as 78428736 + 7581533184 = 8856^2 + 87072^2 .

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, 4080022 + ... + 4081898.

It is an arithmetic number, because the mean of its divisors is an integer number (85265895).

Almost surely, 2^7659961920 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 7659961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14324670360).

7659961920 is an abundant number, since it is smaller than the sum of its proper divisors (20989378800).

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

7659961920 is a wasteful number, since it uses less digits than its factorization.

7659961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The square root of 7659961920 is about 87521.2084011641. The cubic root of 7659961920 is about 1971.2522568036.

The spelling of 7659961920 in words is "seven billion, six hundred fifty-nine million, nine hundred sixty-one thousand, nine hundred twenty".