36604975680 has 1008 divisors, whose sum is σ = 163791351360. Its totient is φ = 7712796672.

The previous prime is 36604975613. The next prime is 36604975697. The reversal of 36604975680 is 8657940663.

36604975680 is a `hidden beast` number, since 36 + 6 + 0 + 49 + 7 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49532751 + ... + 49533489.

It is an arithmetic number, because the mean of its divisors is an integer number (162491420).

Almost surely, 2^36604975680 is an apocalyptic number.

36604975680 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 36604975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81895675680).

36604975680 is an abundant number, since it is smaller than the sum of its proper divisors (127186375680).

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

36604975680 is a wasteful number, since it uses less digits than its factorization.

36604975680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 36604975680 in words is "thirty-six billion, six hundred four million, nine hundred seventy-five thousand, six hundred eighty".