630324090900 has 1008 divisors, whose sum is σ = 2507454762624. Its totient is φ = 134190120960.

The previous prime is 630324090899. The next prime is 630324090923. The reversal of 630324090900 is 9090423036.

It is a happy number.

It is a super-2 number, since 2×630324090900² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 980285979 + ... + 980286621.

It is an arithmetic number, because the mean of its divisors is an integer number (2487554328).

Almost surely, 2^630324090900 is an apocalyptic number.

630324090900 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 630324090900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253727381312).

630324090900 is an abundant number, since it is smaller than the sum of its proper divisors (1877130671724).

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

630324090900 is a wasteful number, since it uses less digits than its factorization.

630324090900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 630324090900 in words is "six hundred thirty billion, three hundred twenty-four million, ninety thousand, nine hundred".