9738408960 has 792 divisors, whose sum is σ = 41500386720. Its totient is φ = 2099478528.

The previous prime is 9738408923. The next prime is 9738409091. The reversal of 9738408960 is 698048379.

It is a junction number, because it is equal to n+sod(n) for n = 9738408897 and 9738408906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42900367 + ... + 42900593.

Almost surely, 2^9738408960 is an apocalyptic number.

9738408960 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 9738408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20750193360).

9738408960 is an abundant number, since it is smaller than the sum of its proper divisors (31761977760).

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

9738408960 is a wasteful number, since it uses less digits than its factorization.

9738408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 9738408960 is about 98683.3773236405. The cubic root of 9738408960 is about 2135.4824315157.

The spelling of 9738408960 in words is "nine billion, seven hundred thirty-eight million, four hundred eight thousand, nine hundred sixty".