1677672264 has 64 divisors (see below), whose sum is σ = 4270976640. Its totient is φ = 549020160.

The previous prime is 1677672247. The next prime is 1677672281. The reversal of 1677672264 is 4622767761.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1677672247) and next prime (1677672281).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1371157 + ... + 1372379.

It is an arithmetic number, because the mean of its divisors is an integer number (66734010).

Almost surely, 2^1677672264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1677672264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135488320).

1677672264 is an abundant number, since it is smaller than the sum of its proper divisors (2593304376).

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

1677672264 is a wasteful number, since it uses less digits than its factorization.

1677672264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 2226 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 48.

The square root of 1677672264 is about 40959.3977494787. The cubic root of 1677672264 is about 1188.2350938793.

The spelling of 1677672264 in words is "one billion, six hundred seventy-seven million, six hundred seventy-two thousand, two hundred sixty-four".