16270469679744 has 768 divisors, whose sum is σ = 56352126504960. Its totient is φ = 4409485516800.

The previous prime is 16270469679689. The next prime is 16270469679757. The reversal of 16270469679744 is 44797696407261.

16270469679744 is a `hidden beast` number, since 1 + 6 + 2 + 70 + 469 + 6 + 7 + 97 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 95 ways as a sum of consecutive naturals, for example, 2134948254 + ... + 2134955874.

It is an arithmetic number, because the mean of its divisors is an integer number (73375164720).

Almost surely, 2^{16270469679744} is an apocalyptic number.

16270469679744 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 16270469679744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28176063252480).

16270469679744 is an abundant number, since it is smaller than the sum of its proper divisors (40081656825216).

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

16270469679744 is a wasteful number, since it uses less digits than its factorization.

16270469679744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7869 (or 7854 counting only the distinct ones).

The product of its (nonzero) digits is 768144384, while the sum is 72.

The spelling of 16270469679744 in words is "sixteen trillion, two hundred seventy billion, four hundred sixty-nine million, six hundred seventy-nine thousand, seven hundred forty-four".