1679472144 has 240 divisors, whose sum is σ = 5814961152. Its totient is φ = 458815104.

The previous prime is 1679472133. The next prime is 1679472163. The reversal of 1679472144 is 4412749761.

1679472144 is a `hidden beast` number, since 167 + 9 + 472 + 14 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1679472144.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624627 + ... + 627309.

Almost surely, 2^1679472144 is an apocalyptic number.

1679472144 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 1679472144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907480576).

1679472144 is an abundant number, since it is smaller than the sum of its proper divisors (4135489008).

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

1679472144 is a wasteful number, since it uses less digits than its factorization.

1679472144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736 (or 2718 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 1679472144 is about 40981.3633740997. The cubic root of 1679472144 is about 1188.6598721587.

It can be divided in two parts, 1679472 and 144, that added together give a 8-th power (1679616 = 6⁸).

The spelling of 1679472144 in words is "one billion, six hundred seventy-nine million, four hundred seventy-two thousand, one hundred forty-four".