9374253926400 has 2592 divisors, whose sum is σ = 39838143945600. Its totient is φ = 2087800012800.

The previous prime is 9374253926383. The next prime is 9374253926441. The reversal of 9374253926400 is 46293524739.

9374253926400 is a `hidden beast` number, since 9 + 3 + 7 + 42 + 539 + 2 + 64 + 0 + 0 = 666.

It is a super-3 number, since 3×9374253926400³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 86002329546 + ... + 86002329654.

It is an arithmetic number, because the mean of its divisors is an integer number (15369654300).

Almost surely, 2^{9374253926400} is an apocalyptic number.

9374253926400 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 9374253926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19919071972800).

9374253926400 is an abundant number, since it is smaller than the sum of its proper divisors (30463890019200).

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

9374253926400 is a wasteful number, since it uses less digits than its factorization.

9374253926400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 9374253926400 in words is "nine trillion, three hundred seventy-four billion, two hundred fifty-three million, nine hundred twenty-six thousand, four hundred".