36641596972800 has 864 divisors, whose sum is σ = 124253052851200. Its totient is φ = 9506736046080.

The previous prime is 36641596972793. The next prime is 36641596972831. The reversal of 36641596972800 is 827969514663.

It is a super-2 number, since 2×36641596972800² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49582674831 + ... + 49582675569.

It is a 2-persistent number, because it is pandigital, and so is 2⋅36641596972800 = 73283193945600, but 3⋅36641596972800 = 109924790918400 is not.

Almost surely, 2^{36641596972800} is an apocalyptic number.

36641596972800 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 36641596972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62126526425600).

36641596972800 is an abundant number, since it is smaller than the sum of its proper divisors (87611455878400).

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

36641596972800 is a wasteful number, since it uses less digits than its factorization.

36641596972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 66.

The spelling of 36641596972800 in words is "thirty-six trillion, six hundred forty-one billion, five hundred ninety-six million, nine hundred seventy-two thousand, eight hundred".