7961736960 has 216 divisors, whose sum is σ = 28292802720. Its totient is φ = 2065637376.

The previous prime is 7961736943. The next prime is 7961736983. The reversal of 7961736960 is 696371697.

It is a junction number, because it is equal to n+sod(n) for n = 7961736897 and 7961736906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 416901 + ... + 435579.

Almost surely, 2^7961736960 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 7961736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14146401360).

7961736960 is an abundant number, since it is smaller than the sum of its proper divisors (20331065760).

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

7961736960 is a wasteful number, since it uses less digits than its factorization.

7961736960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18743 (or 18726 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The square root of 7961736960 is about 89228.5658295593. The cubic root of 7961736960 is about 1996.8063162399.

The spelling of 7961736960 in words is "seven billion, nine hundred sixty-one million, seven hundred thirty-six thousand, nine hundred sixty".