9579794400 has 576 divisors, whose sum is σ = 39462474240. Its totient is φ = 2220134400.

The previous prime is 9579794383. The next prime is 9579794429. The reversal of 9579794400 is 44979759.

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

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 95 ways as a sum of consecutive naturals, for example, 5463924 + ... + 5465676.

It is an arithmetic number, because the mean of its divisors is an integer number (68511240).

Almost surely, 2^9579794400 is an apocalyptic number.

9579794400 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 9579794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19731237120).

9579794400 is an abundant number, since it is smaller than the sum of its proper divisors (29882679840).

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

9579794400 is a wasteful number, since it uses less digits than its factorization.

9579794400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 9579794400 is about 97876.4241275702. The cubic root of 9579794400 is about 2123.8250039361.

The spelling of 9579794400 in words is "nine billion, five hundred seventy-nine million, seven hundred ninety-four thousand, four hundred".