630676800 has 336 divisors, whose sum is σ = 2478105280. Its totient is φ = 155105280.

The previous prime is 630676799. The next prime is 630676807. The reversal of 630676800 is 8676036.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630676807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 561039 + ... + 562161.

Almost surely, 2^630676800 is an apocalyptic number.

630676800 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 630676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239052640).

630676800 is an abundant number, since it is smaller than the sum of its proper divisors (1847428480).

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

630676800 is a wasteful number, since it uses less digits than its factorization.

630676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 630676800 is about 25113.2793557512. The cubic root of 630676800 is about 857.5687597683.

The spelling of 630676800 in words is "six hundred thirty million, six hundred seventy-six thousand, eight hundred".