9713390400 has 1008 divisors, whose sum is σ = 42372954624. Its totient is φ = 2142443520.

The previous prime is 9713390381. The next prime is 9713390431. The reversal of 9713390400 is 40933179.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 117028759 + ... + 117028841.

Almost surely, 2^9713390400 is an apocalyptic number.

9713390400 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 9713390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21186477312).

9713390400 is an abundant number, since it is smaller than the sum of its proper divisors (32659564224).

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

9713390400 is a wasteful number, since it uses less digits than its factorization.

9713390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 9713390400 is about 98556.5340299668. The cubic root of 9713390400 is about 2133.6521355160.

The spelling of 9713390400 in words is "nine billion, seven hundred thirteen million, three hundred ninety thousand, four hundred".