1676676672 has 280 divisors, whose sum is σ = 5489338272. Its totient is φ = 508083840.

The previous prime is 1676676647. The next prime is 1676676713. The reversal of 1676676672 is 2766766761.

The cubic root of 1676676672 is 1188.

It is a perfect power (a cube), and thus also a powerful number.

It is a super-2 number, since 2×1676676672² = 5622489324857991168, which contains 22 as substring.

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

Its product of digits (5334336) is a multiple of the sum of its prime divisors (16).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 152425147 + ... + 152425157.

Almost surely, 2^1676676672 is an apocalyptic number.

1676676672 is a gapful number since it is divisible by the number (12) 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 1676676672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744669136).

1676676672 is an abundant number, since it is smaller than the sum of its proper divisors (3812661600).

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

1676676672 is an frugal number, since it uses more digits than its factorization.

1676676672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 16 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The square root of 1676676672 is about 40947.2425445231.

The spelling of 1676676672 in words is "one billion, six hundred seventy-six million, six hundred seventy-six thousand, six hundred seventy-two".