1673363880 has 256 divisors, whose sum is σ = 5813452800. Its totient is φ = 427680000.

The previous prime is 1673363837. The next prime is 1673363893. The reversal of 1673363880 is 883633761.

1673363880 is a `hidden beast` number, since 1 + 6 + 7 + 3 + 3 + 638 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5055315 + ... + 5055645.

It is an arithmetic number, because the mean of its divisors is an integer number (22708800).

Almost surely, 2^1673363880 is an apocalyptic number.

1673363880 is a gapful number since it is divisible by the number (10) 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 1673363880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906726400).

1673363880 is an abundant number, since it is smaller than the sum of its proper divisors (4140088920).

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

1673363880 is a wasteful number, since it uses less digits than its factorization.

1673363880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 1673363880 is about 40906.7705887424. The cubic root of 1673363880 is about 1187.2170639683.

The spelling of 1673363880 in words is "one billion, six hundred seventy-three million, three hundred sixty-three thousand, eight hundred eighty".