36961751316600 has 1152 divisors, whose sum is σ = 144329093775360. Its totient is φ = 8391859200000.

The previous prime is 36961751316587. The next prime is 36961751316653. The reversal of 36961751316600 is 661315716963.

It is a happy number.

36961751316600 is a `hidden beast` number, since 3 + 6 + 9 + 6 + 1 + 7 + 5 + 13 + 16 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4337720340 + ... + 4337728860.

It is an arithmetic number, because the mean of its divisors is an integer number (125285671680).

Almost surely, 2^{36961751316600} is an apocalyptic number.

36961751316600 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 36961751316600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72164546887680).

36961751316600 is an abundant number, since it is smaller than the sum of its proper divisors (107367342458760).

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

36961751316600 is a wasteful number, since it uses less digits than its factorization.

36961751316600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8813 (or 8801 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 36961751316600 in words is "thirty-six trillion, nine hundred sixty-one billion, seven hundred fifty-one million, three hundred sixteen thousand, six hundred".