673667280 has 400 divisors, whose sum is σ = 2752573824. Its totient is φ = 150543360.

The previous prime is 673667261. The next prime is 673667299. The reversal of 673667280 is 82766376.

673667280 is a `hidden beast` number, since 6 + 7 + 366 + 7 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (673667261) and next prime (673667299).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 926277 + ... + 927003.

Almost surely, 2^673667280 is an apocalyptic number.

673667280 is a gapful number since it is divisible by the number (60) 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 673667280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376286912).

673667280 is an abundant number, since it is smaller than the sum of its proper divisors (2078906544).

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

673667280 is a wasteful number, since it uses less digits than its factorization.

673667280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 673667280 is about 25955.1012327057. The cubic root of 673667280 is about 876.6276230321.

The spelling of 673667280 in words is "six hundred seventy-three million, six hundred sixty-seven thousand, two hundred eighty".