36795630641760 has 2304 divisors, whose sum is σ = 150537095654400. Its totient is φ = 8429361168384.

The previous prime is 36795630641711. The next prime is 36795630641789. The reversal of 36795630641760 is 6714603659763.

It is a happy number.

36795630641760 is a `hidden beast` number, since 3 + 6 + 7 + 9 + 563 + 0 + 6 + 4 + 1 + 7 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 39269616012 + ... + 39269616948.

It is an arithmetic number, because the mean of its divisors is an integer number (65337281100).

Almost surely, 2^{36795630641760} is an apocalyptic number.

36795630641760 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 36795630641760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75268547827200).

36795630641760 is an abundant number, since it is smaller than the sum of its proper divisors (113741465012640).

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

36795630641760 is a wasteful number, since it uses less digits than its factorization.

36795630641760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 63.

The spelling of 36795630641760 in words is "thirty-six trillion, seven hundred ninety-five billion, six hundred thirty million, six hundred forty-one thousand, seven hundred sixty".