9791713382400 has 1248 divisors, whose sum is σ = 38018433450240. Its totient is φ = 2496282624000.

The previous prime is 9791713382387. The next prime is 9791713382417. The reversal of 9791713382400 is 42833171979.

9791713382400 is a `hidden beast` number, since 9 + 7 + 91 + 71 + 3 + 3 + 82 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 5150821450 + ... + 5150823350.

Almost surely, 2^{9791713382400} is an apocalyptic number.

9791713382400 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 9791713382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19009216725120).

9791713382400 is an abundant number, since it is smaller than the sum of its proper divisors (28226720067840).

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

9791713382400 is an equidigital number, since it uses as much as digits as its factorization.

9791713382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 9791713382400 in words is "nine trillion, seven hundred ninety-one billion, seven hundred thirteen million, three hundred eighty-two thousand, four hundred".