9791049600 has 576 divisors, whose sum is σ = 38105262000. Its totient is φ = 2384363520.

The previous prime is 9791049563. The next prime is 9791049613. The reversal of 9791049600 is 69401979.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 15868492 + ... + 15869108.

Almost surely, 2^9791049600 is an apocalyptic number.

9791049600 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 9791049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19052631000).

9791049600 is an abundant number, since it is smaller than the sum of its proper divisors (28314212400).

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

9791049600 is a wasteful number, since it uses less digits than its factorization.

9791049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 9791049600 is about 98949.7326929184. The cubic root of 9791049600 is about 2139.3232786167.

The spelling of 9791049600 in words is "nine billion, seven hundred ninety-one million, forty-nine thousand, six hundred".