9744791918400 has 3360 divisors, whose sum is σ = 46747522252800. Its totient is φ = 1931973120000.

The previous prime is 9744791918291. The next prime is 9744791918423. The reversal of 9744791918400 is 48191974479.

9744791918400 is a `hidden beast` number, since 9 + 7 + 447 + 9 + 1 + 9 + 184 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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 polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 137250590365 + ... + 137250590435.

Almost surely, 2^{9744791918400} is an apocalyptic number.

9744791918400 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 9744791918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23373761126400).

9744791918400 is an abundant number, since it is smaller than the sum of its proper divisors (37002730334400).

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

9744791918400 is a wasteful number, since it uses less digits than its factorization.

9744791918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 9744791918400 in words is "nine trillion, seven hundred forty-four billion, seven hundred ninety-one million, nine hundred eighteen thousand, four hundred".