36981299994624 has 336 divisors, whose sum is σ = 109048727224944. Its totient is φ = 12072635596800.

The previous prime is 36981299994593. The next prime is 36981299994631. The reversal of 36981299994624 is 42649999218963.

36981299994624 is a `hidden beast` number, since 3 + 69 + 8 + 1 + 2 + 9 + 9 + 99 + 462 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1047878419 + ... + 1047913709.

Almost surely, 2^{36981299994624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36981299994624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54524363612472).

36981299994624 is an abundant number, since it is smaller than the sum of its proper divisors (72067427230320).

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

36981299994624 is a wasteful number, since it uses less digits than its factorization.

36981299994624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35617 (or 35590 counting only the distinct ones).

The product of its digits is 3265173504, while the sum is 81.

The spelling of 36981299994624 in words is "thirty-six trillion, nine hundred eighty-one billion, two hundred ninety-nine million, nine hundred ninety-four thousand, six hundred twenty-four".