9739416960 has 768 divisors, whose sum is σ = 43867474560. Its totient is φ = 1932263424.

The previous prime is 9739416949. The next prime is 9739416989. The reversal of 9739416960 is 696149379.

9739416960 is a `hidden beast` number, since 97 + 394 + 169 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9739416897 and 9739416906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8910174 + ... + 8911266.

Almost surely, 2^9739416960 is an apocalyptic number.

9739416960 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 9739416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21933737280).

9739416960 is an abundant number, since it is smaller than the sum of its proper divisors (34128057600).

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

9739416960 is a wasteful number, since it uses less digits than its factorization.

9739416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 9739416960 is about 98688.4844346087. The cubic root of 9739416960 is about 2135.5561085758.

The spelling of 9739416960 in words is "nine billion, seven hundred thirty-nine million, four hundred sixteen thousand, nine hundred sixty".