36590198791680 has 960 divisors, whose sum is σ = 137185419571200. Its totient is φ = 9336097013760.

The previous prime is 36590198791607. The next prime is 36590198791709. The reversal of 36590198791680 is 8619789109563.

36590198791680 is a `hidden beast` number, since 3 + 6 + 590 + 19 + 8 + 7 + 9 + 16 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×36590198791680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 36590198791599 and 36590198791608.

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, 1716308061 + ... + 1716329379.

It is an arithmetic number, because the mean of its divisors is an integer number (142901478720).

Almost surely, 2^{36590198791680} is an apocalyptic number.

36590198791680 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 36590198791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68592709785600).

36590198791680 is an abundant number, since it is smaller than the sum of its proper divisors (100595220779520).

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

36590198791680 is an equidigital number, since it uses as much as digits as its factorization.

36590198791680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21477 (or 21449 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 72.

The spelling of 36590198791680 in words is "thirty-six trillion, five hundred ninety billion, one hundred ninety-eight million, seven hundred ninety-one thousand, six hundred eighty".