9913799540736 has 1152 divisors, whose sum is σ = 37334000995200. Its totient is φ = 2543962816512.

The previous prime is 9913799540681. The next prime is 9913799540779. The reversal of 9913799540736 is 6370459973199.

9913799540736 is a `hidden beast` number, since 9 + 9 + 1 + 3 + 7 + 9 + 9 + 540 + 73 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 47 ways as a sum of consecutive naturals, for example, 267940528110 + ... + 267940528146.

It is an arithmetic number, because the mean of its divisors is an integer number (32407986975).

Almost surely, 2^{9913799540736} is an apocalyptic number.

9913799540736 is a gapful number since it is divisible by the number (96) 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 9913799540736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18667000497600).

9913799540736 is an abundant number, since it is smaller than the sum of its proper divisors (27420201454464).

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

9913799540736 is an frugal number, since it uses more digits than its factorization.

9913799540736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 347208120, while the sum is 72.

The spelling of 9913799540736 in words is "nine trillion, nine hundred thirteen billion, seven hundred ninety-nine million, five hundred forty thousand, seven hundred thirty-six".