36997661568 has 128 divisors (see below), whose sum is σ = 113991217920. Its totient is φ = 10412937216.

The previous prime is 36997661473. The next prime is 36997661621. The reversal of 36997661568 is 86516679963.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 36997661499 and 36997661508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77380 + ... + 282812.

It is an arithmetic number, because the mean of its divisors is an integer number (890556390).

Almost surely, 2^36997661568 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 36997661568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56995608960).

36997661568 is an abundant number, since it is smaller than the sum of its proper divisors (76993556352).

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

36997661568 is a wasteful number, since it uses less digits than its factorization.

36997661568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205524 (or 205512 counting only the distinct ones).

The product of its digits is 88179840, while the sum is 66.

The spelling of 36997661568 in words is "thirty-six billion, nine hundred ninety-seven million, six hundred sixty-one thousand, five hundred sixty-eight".