630861145200 has 1620 divisors, whose sum is σ = 2737519230264. Its totient is φ = 137728512000.

The previous prime is 630861145183. The next prime is 630861145303. The reversal of 630861145200 is 2541168036.

It is a happy number.

630861145200 is a `hidden beast` number, since 6 + 30 + 8 + 611 + 4 + 5 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

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 323 ways as a sum of consecutive naturals, for example, 15386857180 + ... + 15386857220.

Almost surely, 2^630861145200 is an apocalyptic number.

630861145200 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 630861145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368759615132).

630861145200 is an abundant number, since it is smaller than the sum of its proper divisors (2106658085064).

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

630861145200 is a wasteful number, since it uses less digits than its factorization.

630861145200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 630861145200 in words is "six hundred thirty billion, eight hundred sixty-one million, one hundred forty-five thousand, two hundred".