36741600000 has 972 divisors, whose sum is σ = 157138411248. Its totient is φ = 8398080000.

The previous prime is 36741599969. The next prime is 36741600041. The reversal of 36741600000 is 614763.

It is a tau number, because it is divible by the number of its divisors (972).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5248799997 + ... + 5248800003.

Almost surely, 2^36741600000 is an apocalyptic number.

36741600000 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 36741600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78569205624).

36741600000 is an abundant number, since it is smaller than the sum of its proper divisors (120396811248).

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

36741600000 is an frugal number, since it uses more digits than its factorization.

36741600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 36741600000 in words is "thirty-six billion, seven hundred forty-one million, six hundred thousand".