16977651768 has 192 divisors, whose sum is σ = 57394022400. Its totient is φ = 4404637440.

The previous prime is 16977651701. The next prime is 16977651793. The reversal of 16977651768 is 86715677961.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 7921305 + ... + 7923447.

It is an arithmetic number, because the mean of its divisors is an integer number (298927200).

Almost surely, 2^16977651768 is an apocalyptic number.

16977651768 is a gapful number since it is divisible by the number (18) 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 16977651768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28697011200).

16977651768 is an abundant number, since it is smaller than the sum of its proper divisors (40416370632).

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

16977651768 is a wasteful number, since it uses less digits than its factorization.

16977651768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602 (or 3595 counting only the distinct ones).

The product of its digits is 26671680, while the sum is 63.

The spelling of 16977651768 in words is "sixteen billion, nine hundred seventy-seven million, six hundred fifty-one thousand, seven hundred sixty-eight".