36727606127520 has 576 divisors, whose sum is σ = 156286437914880. Its totient is φ = 7630383513600.

The previous prime is 36727606127503. The next prime is 36727606127543. The reversal of 36727606127520 is 2572160672763.

It is a happy number.

36727606127520 is a `hidden beast` number, since 3 + 6 + 7 + 2 + 7 + 606 + 1 + 2 + 7 + 5 + 20 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 718587726 + ... + 718638834.

It is an arithmetic number, because the mean of its divisors is an integer number (271330621380).

Almost surely, 2^{36727606127520} is an apocalyptic number.

36727606127520 is a gapful number since it is divisible by the number (30) 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 36727606127520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78143218957440).

36727606127520 is an abundant number, since it is smaller than the sum of its proper divisors (119558831787360).

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

36727606127520 is a wasteful number, since it uses less digits than its factorization.

36727606127520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57629 (or 57618 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 36727606127520 in words is "thirty-six trillion, seven hundred twenty-seven billion, six hundred six million, one hundred twenty-seven thousand, five hundred twenty".