16402765680 has 300 divisors, whose sum is σ = 66271617720. Its totient is φ = 3749131008.

The previous prime is 16402765679. The next prime is 16402765693. The reversal of 16402765680 is 8656720461.

16402765680 is a `hidden beast` number, since 1 + 64 + 0 + 27 + 6 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 59 ways as a sum of consecutive naturals, for example, 291691 + ... + 343349.

Almost surely, 2^16402765680 is an apocalyptic number.

16402765680 is a gapful number since it is divisible by the number (10) 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 16402765680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33135808860).

16402765680 is an abundant number, since it is smaller than the sum of its proper divisors (49868852040).

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

16402765680 is a wasteful number, since it uses less digits than its factorization.

16402765680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51698 (or 51676 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 16402765680 in words is "sixteen billion, four hundred two million, seven hundred sixty-five thousand, six hundred eighty".