27372635565696 has 320 divisors, whose sum is σ = 85527320076000. Its totient is φ = 8678091147264.

The previous prime is 27372635565679. The next prime is 27372635565731. The reversal of 27372635565696 is 69656553627372.

27372635565696 is a `hidden beast` number, since 2 + 7 + 3 + 7 + 2 + 6 + 3 + 5 + 56 + 569 + 6 = 666.

It is a super-2 number, since 2×27372635565696² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19465635 + ... + 20824413.

Almost surely, 2^{27372635565696} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27372635565696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42763660038000).

27372635565696 is an abundant number, since it is smaller than the sum of its proper divisors (58154684510304).

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

27372635565696 is a wasteful number, since it uses less digits than its factorization.

27372635565696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358901 (or 1358880 counting only the distinct ones).

The product of its digits is 2571912000, while the sum is 72.

The spelling of 27372635565696 in words is "twenty-seven trillion, three hundred seventy-two billion, six hundred thirty-five million, five hundred sixty-five thousand, six hundred ninety-six".