9716792400 has 360 divisors, whose sum is σ = 39967205824. Its totient is φ = 2220825600.

The previous prime is 9716792389. The next prime is 9716792411. The reversal of 9716792400 is 42976179.

It is an interprime number because it is at equal distance from previous prime (9716792389) and next prime (9716792411).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 673260 + ... + 687540.

Almost surely, 2^9716792400 is an apocalyptic number.

9716792400 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 9716792400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19983602912).

9716792400 is an abundant number, since it is smaller than the sum of its proper divisors (30250413424).

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

9716792400 is a wasteful number, since it uses less digits than its factorization.

9716792400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14321 (or 14298 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 9716792400 is about 98573.7916486933. The cubic root of 9716792400 is about 2133.9012019082.

The spelling of 9716792400 in words is "nine billion, seven hundred sixteen million, seven hundred ninety-two thousand, four hundred".