36896032293120 has 6480 divisors, whose sum is σ = 192146233245120. Its totient is φ = 6704489594880.

The previous prime is 36896032293119. The next prime is 36896032293151. The reversal of 36896032293120 is 2139223069863.

It is a happy number.

36896032293120 is a `hidden beast` number, since 3 + 6 + 8 + 9 + 603 + 2 + 2 + 9 + 3 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a super-2 number, since 2×36896032293120² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1941896436471 + ... + 1941896436489.

Almost surely, 2^{36896032293120} is an apocalyptic number.

36896032293120 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 36896032293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96073116622560).

36896032293120 is an abundant number, since it is smaller than the sum of its proper divisors (155250200952000).

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

36896032293120 is an equidigital number, since it uses as much as digits as its factorization.

36896032293120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 36896032293120 in words is "thirty-six trillion, eight hundred ninety-six billion, thirty-two million, two hundred ninety-three thousand, one hundred twenty".