36926023680 has 1728 divisors, whose sum is σ = 174344199120. Its totient is φ = 7134511104.

The previous prime is 36926023657. The next prime is 36926023703. The reversal of 36926023680 is 8632062963.

36926023680 is a `hidden beast` number, since 3 + 6 + 9 + 2 + 602 + 36 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (36926023657) and next prime (36926023703).

It can be written as a sum of positive squares in 8 ways, for example, as 22456820736 + 14469202944 = 149856^2 + 120288^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 998000622 + ... + 998000658.

Almost surely, 2^36926023680 is an apocalyptic number.

36926023680 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 36926023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87172099560).

36926023680 is an abundant number, since it is smaller than the sum of its proper divisors (137418175440).

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

36926023680 is a wasteful number, since it uses less digits than its factorization.

36926023680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 36926023680 in words is "thirty-six billion, nine hundred twenty-six million, twenty-three thousand, six hundred eighty".