36832123806720 has 352 divisors, whose sum is σ = 129160734796800. Its totient is φ = 8884122255360.

The previous prime is 36832123806703. The next prime is 36832123806749. The reversal of 36832123806720 is 2760832123863.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×36832123806720² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33075319 + ... + 34170761.

Almost surely, 2^{36832123806720} is an apocalyptic number.

36832123806720 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 36832123806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64580367398400).

36832123806720 is an abundant number, since it is smaller than the sum of its proper divisors (92328610990080).

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

36832123806720 is a wasteful number, since it uses less digits than its factorization.

36832123806720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095681 (or 1095663 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 36832123806720 in words is "thirty-six trillion, eight hundred thirty-two billion, one hundred twenty-three million, eight hundred six thousand, seven hundred twenty".