36396096000 has 640 divisors, whose sum is σ = 139109667840. Its totient is φ = 8349696000.

The previous prime is 36396095999. The next prime is 36396096007. The reversal of 36396096000 is 69069363.

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (36396096007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40127547 + ... + 40128453.

It is an arithmetic number, because the mean of its divisors is an integer number (217358856).

Almost surely, 2^36396096000 is an apocalyptic number.

36396096000 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 36396096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69554833920).

36396096000 is an abundant number, since it is smaller than the sum of its proper divisors (102713571840).

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

36396096000 is a wasteful number, since it uses less digits than its factorization.

36396096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 42.

The spelling of 36396096000 in words is "thirty-six billion, three hundred ninety-six million, ninety-six thousand".