16946518680 has 1536 divisors, whose sum is σ = 79252992000. Its totient is φ = 3218890752.

The previous prime is 16946518573. The next prime is 16946518691. The reversal of 16946518680 is 8681564961.

16946518680 is a `hidden beast` number, since 1 + 6 + 9 + 46 + 518 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 736805149 + ... + 736805171.

It is an arithmetic number, because the mean of its divisors is an integer number (51597000).

Almost surely, 2^16946518680 is an apocalyptic number.

16946518680 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 16946518680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39626496000).

16946518680 is an abundant number, since it is smaller than the sum of its proper divisors (62306473320).

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

16946518680 is a wasteful number, since it uses less digits than its factorization.

16946518680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 16946518680 in words is "sixteen billion, nine hundred forty-six million, five hundred eighteen thousand, six hundred eighty".