36763599600000 has 3840 divisors, whose sum is σ = 173370862304640. Its totient is φ = 7524679680000.

The previous prime is 36763599599941. The next prime is 36763599600059. The reversal of 36763599600000 is 699536763.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36763599599941) and next prime (36763599600059).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 36763599600000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 109090799832 + ... + 109090800168.

Almost surely, 2^{36763599600000} is an apocalyptic number.

36763599600000 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 36763599600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86685431152320).

36763599600000 is an abundant number, since it is smaller than the sum of its proper divisors (136607262704640).

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

36763599600000 is an equidigital number, since it uses as much as digits as its factorization.

36763599600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 54.

The spelling of 36763599600000 in words is "thirty-six trillion, seven hundred sixty-three billion, five hundred ninety-nine million, six hundred thousand".