36097025760 has 192 divisors, whose sum is σ = 126430839360. Its totient is φ = 9618923520.

The previous prime is 36097025743. The next prime is 36097025791. The reversal of 36097025760 is 6752079063.

36097025760 is a `hidden beast` number, since 3 + 6 + 0 + 9 + 70 + 2 + 576 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9299020 + ... + 9302900.

It is an arithmetic number, because the mean of its divisors is an integer number (658493955).

Almost surely, 2^36097025760 is an apocalyptic number.

36097025760 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 36097025760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63215419680).

36097025760 is an abundant number, since it is smaller than the sum of its proper divisors (90333813600).

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

36097025760 is a wasteful number, since it uses less digits than its factorization.

36097025760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6058 (or 6044 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 36097025760 in words is "thirty-six billion, ninety-seven million, twenty-five thousand, seven hundred sixty".