36761172360 has 256 divisors, whose sum is σ = 123547576320. Its totient is φ = 8673024000.

The previous prime is 36761172359. The next prime is 36761172367. The reversal of 36761172360 is 6327116763.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (36761172367) 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, 37396429 + ... + 37397411.

It is an arithmetic number, because the mean of its divisors is an integer number (482607720).

Almost surely, 2^36761172360 is an apocalyptic number.

36761172360 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 36761172360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61773788160).

36761172360 is an abundant number, since it is smaller than the sum of its proper divisors (86786403960).

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

36761172360 is a wasteful number, since it uses less digits than its factorization.

36761172360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The spelling of 36761172360 in words is "thirty-six billion, seven hundred sixty-one million, one hundred seventy-two thousand, three hundred sixty".