9079368399360 has 1920 divisors, whose sum is σ = 40300532743680. Its totient is φ = 1924831641600.

The previous prime is 9079368399349. The next prime is 9079368399371. The reversal of 9079368399360 is 639938639709.

It is a happy number.

9079368399360 is a `hidden beast` number, since 9 + 0 + 79 + 36 + 83 + 99 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (9079368399349) and next prime (9079368399371).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4087963050 + ... + 4087965270.

It is an arithmetic number, because the mean of its divisors is an integer number (20989860804).

Almost surely, 2^{9079368399360} is an apocalyptic number.

9079368399360 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 9079368399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20150266371840).

9079368399360 is an abundant number, since it is smaller than the sum of its proper divisors (31221164344320).

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

9079368399360 is a wasteful number, since it uses less digits than its factorization.

9079368399360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 357128352, while the sum is 72.

The spelling of 9079368399360 in words is "nine trillion, seventy-nine billion, three hundred sixty-eight million, three hundred ninety-nine thousand, three hundred sixty".