36795725280 has 384 divisors, whose sum is σ = 139945881600. Its totient is φ = 8995276800.

The previous prime is 36795725279. The next prime is 36795725287. The reversal of 36795725280 is 8252759763.

36795725280 is a `hidden beast` number, since 3 + 67 + 9 + 57 + 2 + 528 + 0 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36795725287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2537250 + ... + 2551710.

It is an arithmetic number, because the mean of its divisors is an integer number (364442400).

Almost surely, 2^36795725280 is an apocalyptic number.

36795725280 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 36795725280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69972940800).

36795725280 is an abundant number, since it is smaller than the sum of its proper divisors (103150156320).

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

36795725280 is a wasteful number, since it uses less digits than its factorization.

36795725280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14535 (or 14521 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 36795725280 in words is "thirty-six billion, seven hundred ninety-five million, seven hundred twenty-five thousand, two hundred eighty".