36617967360 has 864 divisors, whose sum is σ = 152270314560. Its totient is φ = 8026324992.

The previous prime is 36617967329. The next prime is 36617967361. The reversal of 36617967360 is 6376971663.

It is a junction number, because it is equal to n+sod(n) for n = 36617967297 and 36617967306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36617967361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48372102 + ... + 48372858.

It is an arithmetic number, because the mean of its divisors is an integer number (176238790).

Almost surely, 2^36617967360 is an apocalyptic number.

36617967360 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 36617967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76135157280).

36617967360 is an abundant number, since it is smaller than the sum of its proper divisors (115652347200).

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

36617967360 is a wasteful number, since it uses less digits than its factorization.

36617967360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 36617967360 in words is "thirty-six billion, six hundred seventeen million, nine hundred sixty-seven thousand, three hundred sixty".