27063993970944 has 864 divisors, whose sum is σ = 94753116057600. Its totient is φ = 7463755653120.

The previous prime is 27063993970939. The next prime is 27063993970963. The reversal of 27063993970944 is 44907939936072.

27063993970944 is a `hidden beast` number, since 2 + 7 + 0 + 63 + 99 + 397 + 0 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×27063993970944² (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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8677136617 + ... + 8677139735.

It is an arithmetic number, because the mean of its divisors is an integer number (109667958400).

Almost surely, 2^{27063993970944} is an apocalyptic number.

27063993970944 is a gapful number since it is divisible by the number (24) 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 27063993970944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47376558028800).

27063993970944 is an abundant number, since it is smaller than the sum of its proper divisors (67689122086656).

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

27063993970944 is a wasteful number, since it uses less digits than its factorization.

27063993970944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3356 (or 3299 counting only the distinct ones).

The product of its (nonzero) digits is 555532992, while the sum is 72.

The spelling of 27063993970944 in words is "twenty-seven trillion, sixty-three billion, nine hundred ninety-three million, nine hundred seventy thousand, nine hundred forty-four".