27346777016832 has 1920 divisors, whose sum is σ = 104680215704064. Its totient is φ = 6934744793088.

The previous prime is 27346777016831. The next prime is 27346777016837. The reversal of 27346777016832 is 23861077764372.

27346777016832 is a `hidden beast` number, since 2 + 7 + 3 + 467 + 7 + 7 + 0 + 168 + 3 + 2 = 666.

It is a super-2 number, since 2×27346777016832² (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 27346777016832.

It is not an unprimeable number, because it can be changed into a prime (27346777016831) 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, 40634140848 + ... + 40634141520.

Almost surely, 2^{27346777016832} 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 27346777016832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52340107852032).

27346777016832 is an abundant number, since it is smaller than the sum of its proper divisors (77333438687232).

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

27346777016832 is an equidigital number, since it uses as much as digits as its factorization.

27346777016832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 99574272, while the sum is 63.

The spelling of 27346777016832 in words is "twenty-seven trillion, three hundred forty-six billion, seven hundred seventy-seven million, sixteen thousand, eight hundred thirty-two".