36697561760 has 72 divisors (see below), whose sum is σ = 87192082908. Its totient is φ = 14595840000.

The previous prime is 36697561759. The next prime is 36697561781. The reversal of 36697561760 is 6716579663.

It can be written as a sum of positive squares in 6 ways, for example, as 795664 + 36696766096 = 892^2 + 191564^2 .

It is a super-2 number, since 2×36697561760² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36697561696 and 36697561705.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5238260 + ... + 5245260.

Almost surely, 2^36697561760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36697561760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43596041454).

36697561760 is an abundant number, since it is smaller than the sum of its proper divisors (50494521148).

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

36697561760 is an equidigital number, since it uses as much as digits as its factorization.

36697561760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7378 (or 7189 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 56.

The spelling of 36697561760 in words is "thirty-six billion, six hundred ninety-seven million, five hundred sixty-one thousand, seven hundred sixty".