36996529079328 has 384 divisors, whose sum is σ = 121400636313600. Its totient is φ = 9604611624960.

The previous prime is 36996529079291. The next prime is 36996529079351. The reversal of 36996529079328 is 82397092569963.

It is a super-2 number, since 2×36996529079328² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (78) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 818828898 + ... + 818874078.

It is an arithmetic number, because the mean of its divisors is an integer number (316147490400).

Almost surely, 2^{36996529079328} 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 36996529079328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60700318156800).

36996529079328 is an abundant number, since it is smaller than the sum of its proper divisors (84404107234272).

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

36996529079328 is a wasteful number, since it uses less digits than its factorization.

36996529079328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46680 (or 46672 counting only the distinct ones).

The product of its (nonzero) digits is 2380855680, while the sum is 78.

The spelling of 36996529079328 in words is "thirty-six trillion, nine hundred ninety-six billion, five hundred twenty-nine million, seventy-nine thousand, three hundred twenty-eight".