1673656320 has 384 divisors, whose sum is σ = 6296209920. Its totient is φ = 371589120.

The previous prime is 1673656319. The next prime is 1673656337. The reversal of 1673656320 is 236563761.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1673656320² = 5602250954951884800, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9246630 + ... + 9246810.

It is an arithmetic number, because the mean of its divisors is an integer number (16396380).

Almost surely, 2^1673656320 is an apocalyptic number.

1673656320 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 1673656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148104960).

1673656320 is an abundant number, since it is smaller than the sum of its proper divisors (4622553600).

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

1673656320 is a wasteful number, since it uses less digits than its factorization.

1673656320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The square root of 1673656320 is about 40910.3449019927. The cubic root of 1673656320 is about 1187.2862199837.

The spelling of 1673656320 in words is "one billion, six hundred seventy-three million, six hundred fifty-six thousand, three hundred twenty".