27349793856 has 784 divisors, whose sum is σ = 106180420608. Its totient is φ = 6774451200.

The previous prime is 27349793843. The next prime is 27349793857. The reversal of 27349793856 is 65839794372.

27349793856 is a `hidden beast` number, since 2 + 7 + 3 + 497 + 93 + 8 + 56 = 666.

It is a super-2 number, since 2×27349793856² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 27349793793 and 27349793802.

It is not an unprimeable number, because it can be changed into a prime (27349793857) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 82627611 + ... + 82627941.

Almost surely, 2^27349793856 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 27349793856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53090210304).

27349793856 is an abundant number, since it is smaller than the sum of its proper divisors (78830626752).

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

27349793856 is a wasteful number, since it uses less digits than its factorization.

27349793856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 377 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 27349793856 in words is "twenty-seven billion, three hundred forty-nine million, seven hundred ninety-three thousand, eight hundred fifty-six".