36079617982464 has 1080 divisors, whose sum is σ = 126029569138200. Its totient is φ = 9905079582720.

The previous prime is 36079617982411. The next prime is 36079617982483. The reversal of 36079617982464 is 46428971697063.

It is a happy number.

36079617982464 is a `hidden beast` number, since 3 + 6 + 0 + 7 + 96 + 1 + 79 + 8 + 2 + 464 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2959500902400 + 33120117080064 = 1720320^2 + 5755008^2 .

It is a super-2 number, since 2×36079617982464² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 36079617982392 and 36079617982401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 85699804974 + ... + 85699805394.

Almost surely, 2^{36079617982464} 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 36079617982464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63014784569100).

36079617982464 is an abundant number, since it is smaller than the sum of its proper divisors (89949951155736).

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

36079617982464 is a wasteful number, since it uses less digits than its factorization.

36079617982464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 36079617982464 in words is "thirty-six trillion, seventy-nine billion, six hundred seventeen million, nine hundred eighty-two thousand, four hundred sixty-four".