36979339372096 has 189 divisors, whose sum is σ = 85150336037697. Its totient is φ = 15919739066880.

The previous prime is 36979339372033. The next prime is 36979339372097. The reversal of 36979339372096 is 69027393397963.

The square root of 36979339372096 is 6081064.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 989706625600 + 35989632746496 = 994840^2 + 5999136^2 .

It is a Harshad number since it is a multiple of its sum of digits (76).

It is not an unprimeable number, because it can be changed into a prime (36979339372097) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10167537190 + ... + 10167540826.

Almost surely, 2^{36979339372096} is an apocalyptic number.

36979339372096 is the 6081064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36979339372096

36979339372096 is an abundant number, since it is smaller than the sum of its proper divisors (48170996665601).

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

36979339372096 is an frugal number, since it uses more digits than its factorization.

36979339372096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7346 (or 3669 counting only the distinct ones).

The product of its (nonzero) digits is 1874923848, while the sum is 76.

The spelling of 36979339372096 in words is "thirty-six trillion, nine hundred seventy-nine billion, three hundred thirty-nine million, three hundred seventy-two thousand, ninety-six".