16427013643264 has 176 divisors, whose sum is σ = 39743593021440. Its totient is φ = 6624876625920.

The previous prime is 16427013643207. The next prime is 16427013643277. The reversal of 16427013643264 is 46234631072461.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1296419649 + ... + 1296432319.

It is an arithmetic number, because the mean of its divisors is an integer number (225815869440).

Almost surely, 2^{16427013643264} is an apocalyptic number.

16427013643264 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 16427013643264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19871796510720).

16427013643264 is an abundant number, since it is smaller than the sum of its proper divisors (23316579378176).

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

16427013643264 is a wasteful number, since it uses less digits than its factorization.

16427013643264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23354 (or 23336 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 49.

The spelling of 16427013643264 in words is "sixteen trillion, four hundred twenty-seven billion, thirteen million, six hundred forty-three thousand, two hundred sixty-four".