27967641621696 has 1344 divisors, whose sum is σ = 100744419409920. Its totient is φ = 7241041059840.

The previous prime is 27967641621691. The next prime is 27967641621737. The reversal of 27967641621696 is 69612614676972.

27967641621696 is a `hidden beast` number, since 2 + 79 + 67 + 6 + 416 + 21 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×27967641621696³ (a number of 41 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (27967641621691) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46075191825 + ... + 46075192431.

Almost surely, 2^{27967641621696} 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 27967641621696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50372209704960).

27967641621696 is an abundant number, since it is smaller than the sum of its proper divisors (72776777788224).

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

27967641621696 is a wasteful number, since it uses less digits than its factorization.

27967641621696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 949 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 72.

The spelling of 27967641621696 in words is "twenty-seven trillion, nine hundred sixty-seven billion, six hundred forty-one million, six hundred twenty-one thousand, six hundred ninety-six".