36726696000 has 840 divisors, whose sum is σ = 144309775896. Its totient is φ = 9219225600.

The previous prime is 36726695983. The next prime is 36726696029. The reversal of 36726696000 is 69662763.

36726696000 is a `hidden beast` number, since 36 + 7 + 2 + 6 + 6 + 9 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3623076864 + 33103619136 = 60192^2 + 181944^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 233927922 + ... + 233928078.

Almost surely, 2^36726696000 is an apocalyptic number.

36726696000 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 36726696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72154887948).

36726696000 is an abundant number, since it is smaller than the sum of its proper divisors (107583079896).

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

36726696000 is a wasteful number, since it uses less digits than its factorization.

36726696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 36726696000 in words is "thirty-six billion, seven hundred twenty-six million, six hundred ninety-six thousand".