9916793040 has 320 divisors, whose sum is σ = 38858084352. Its totient is φ = 2032128000.

The previous prime is 9916792993. The next prime is 9916793053. The reversal of 9916793040 is 403976199.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1345365 + ... + 1352715.

Almost surely, 2^9916793040 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 9916793040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19429042176).

9916793040 is an abundant number, since it is smaller than the sum of its proper divisors (28941291312).

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

9916793040 is a wasteful number, since it uses less digits than its factorization.

9916793040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7458 (or 7452 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 48.

The square root of 9916793040 is about 99583.0961559240. The cubic root of 9916793040 is about 2148.4425742794.

The spelling of 9916793040 in words is "nine billion, nine hundred sixteen million, seven hundred ninety-three thousand, forty".