673626624 has 80 divisors (see below), whose sum is σ = 1957776480. Its totient is φ = 204124160.

The previous prime is 673626619. The next prime is 673626647. The reversal of 673626624 is 426626376.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3039 + ... + 36830.

It is an arithmetic number, because the mean of its divisors is an integer number (24472206).

Almost surely, 2^673626624 is an apocalyptic number.

673626624 is a gapful number since it is divisible by the number (64) 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 673626624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978888240).

673626624 is an abundant number, since it is smaller than the sum of its proper divisors (1284149856).

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

673626624 is a wasteful number, since it uses less digits than its factorization.

673626624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39901 (or 39885 counting only the distinct ones).

The product of its digits is 435456, while the sum is 42.

The square root of 673626624 is about 25954.3180222482. The cubic root of 673626624 is about 876.6099877737.

The spelling of 673626624 in words is "six hundred seventy-three million, six hundred twenty-six thousand, six hundred twenty-four".