27879224647680 has 2688 divisors, whose sum is σ = 124606822728960. Its totient is φ = 5874080808960.

The previous prime is 27879224647657. The next prime is 27879224647709. The reversal of 27879224647680 is 8674642297872.

27879224647680 is a `hidden beast` number, since 2 + 7 + 8 + 7 + 92 + 2 + 464 + 76 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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 = 27879224647599 and 27879224647608.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48825261795 + ... + 48825262365.

Almost surely, 2^{27879224647680} is an apocalyptic number.

27879224647680 is a gapful number since it is divisible by the number (20) 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 27879224647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62303411364480).

27879224647680 is an abundant number, since it is smaller than the sum of its proper divisors (96727598081280).

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

27879224647680 is a wasteful number, since it uses less digits than its factorization.

27879224647680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 910393344, while the sum is 72.

The spelling of 27879224647680 in words is "twenty-seven trillion, eight hundred seventy-nine billion, two hundred twenty-four million, six hundred forty-seven thousand, six hundred eighty".