9949187023776 has 1536 divisors, whose sum is σ = 42337625702400. Its totient is φ = 2186860032000.

The previous prime is 9949187023753. The next prime is 9949187023813. The reversal of 9949187023776 is 6773207819499.

9949187023776 is a `hidden beast` number, since 9 + 94 + 91 + 87 + 0 + 2 + 377 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 509395131 + ... + 509414661.

It is an arithmetic number, because the mean of its divisors is an integer number (27563558400).

Almost surely, 2^{9949187023776} is an apocalyptic number.

9949187023776 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 9949187023776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168812851200).

9949187023776 is an abundant number, since it is smaller than the sum of its proper divisors (32388438678624).

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

9949187023776 is a wasteful number, since it uses less digits than its factorization.

9949187023776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19631 (or 19617 counting only the distinct ones).

The product of its (nonzero) digits is 288054144, while the sum is 72.

The spelling of 9949187023776 in words is "nine trillion, nine hundred forty-nine billion, one hundred eighty-seven million, twenty-three thousand, seven hundred seventy-six".