36736458516576 has 1152 divisors, whose sum is σ = 136932262871040. Its totient is φ = 9430945302528.

The previous prime is 36736458516491. The next prime is 36736458516581. The reversal of 36736458516576 is 67561585463763.

36736458516576 is a `hidden beast` number, since 3 + 6 + 7 + 3 + 6 + 4 + 58 + 516 + 57 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4300178161 + ... + 4300186703.

It is an arithmetic number, because the mean of its divisors is an integer number (118864811520).

Almost surely, 2^{36736458516576} is an apocalyptic number.

36736458516576 is a gapful number since it is divisible by the number (36) 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 36736458516576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68466131435520).

36736458516576 is an abundant number, since it is smaller than the sum of its proper divisors (100195804354464).

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

36736458516576 is a wasteful number, since it uses less digits than its factorization.

36736458516576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8750 (or 8730 counting only the distinct ones).

The product of its digits is 2286144000, while the sum is 72.

The spelling of 36736458516576 in words is "thirty-six trillion, seven hundred thirty-six billion, four hundred fifty-eight million, five hundred sixteen thousand, five hundred seventy-six".