8993574374400 has 5280 divisors, whose sum is σ = 45288438497280. Its totient is φ = 1707982848000.

The previous prime is 8993574374363. The next prime is 8993574374443. The reversal of 8993574374400 is 44734753998.

8993574374400 is a `hidden beast` number, since 8 + 9 + 93 + 5 + 74 + 3 + 74 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 113842713561 + ... + 113842713639.

It is an arithmetic number, because the mean of its divisors is an integer number (8577355776).

Almost surely, 2^{8993574374400} is an apocalyptic number.

8993574374400 is a gapful number since it is divisible by the number (80) 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 8993574374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22644219248640).

8993574374400 is an abundant number, since it is smaller than the sum of its proper divisors (36294864122880).

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

8993574374400 is a wasteful number, since it uses less digits than its factorization.

8993574374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 8993574374400 in words is "eight trillion, nine hundred ninety-three billion, five hundred seventy-four million, three hundred seventy-four thousand, four hundred".