16627110864 has 160 divisors (see below), whose sum is σ = 52969943040. Its totient is φ = 4376526336.

The previous prime is 16627110827. The next prime is 16627110893. The reversal of 16627110864 is 46801172661.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2385817 + ... + 2392775.

It is an arithmetic number, because the mean of its divisors is an integer number (331062144).

Almost surely, 2^16627110864 is an apocalyptic number.

16627110864 is a gapful number since it is divisible by the number (14) 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 16627110864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26484971520).

16627110864 is an abundant number, since it is smaller than the sum of its proper divisors (36342832176).

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

16627110864 is a wasteful number, since it uses less digits than its factorization.

16627110864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7537 (or 7531 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 16627110864 in words is "sixteen billion, six hundred twenty-seven million, one hundred ten thousand, eight hundred sixty-four".