1679172768 has 504 divisors, whose sum is σ = 6264240948. Its totient is φ = 438939648.

The previous prime is 1679172743. The next prime is 1679172769. The reversal of 1679172768 is 8672719761.

It can be written as a sum of positive squares in 2 ways, for example, as 1262523024 + 416649744 = 35532^2 + 20412^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1778112) is a multiple of the sum of its prime factors (168).

It is not an unprimeable number, because it can be changed into a prime (1679172769) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 14859880 + ... + 14859992.

Almost surely, 2^1679172768 is an apocalyptic number.

1679172768 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 1679172768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132120474).

1679172768 is an abundant number, since it is smaller than the sum of its proper divisors (4585068180).

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

1679172768 is a wasteful number, since it uses less digits than its factorization.

1679172768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 138 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 54.

The square root of 1679172768 is about 40977.7106241918. The cubic root of 1679172768 is about 1188.5892393737.

The spelling of 1679172768 in words is "one billion, six hundred seventy-nine million, one hundred seventy-two thousand, seven hundred sixty-eight".