36172795760640 has 2080 divisors, whose sum is σ = 162276047087616. Its totient is φ = 7488157777920.

The previous prime is 36172795760611. The next prime is 36172795760671. The reversal of 36172795760640 is 4606759727163.

It is a happy number.

36172795760640 is a `hidden beast` number, since 3 + 6 + 17 + 2 + 7 + 9 + 5 + 7 + 606 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 64250080999 + ... + 64250081561.

Almost surely, 2^{36172795760640} is an apocalyptic number.

36172795760640 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 36172795760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81138023543808).

36172795760640 is an abundant number, since it is smaller than the sum of its proper divisors (126103251326976).

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

36172795760640 is a wasteful number, since it uses less digits than its factorization.

36172795760640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 63.

The spelling of 36172795760640 in words is "thirty-six trillion, one hundred seventy-two billion, seven hundred ninety-five million, seven hundred sixty thousand, six hundred forty".