630274132800 has 336 divisors, whose sum is σ = 2474321980480. Its totient is φ = 155144263680.

The previous prime is 630274132723. The next prime is 630274132861. The reversal of 630274132800 is 8231472036.

It is a happy number.

630274132800 is a `hidden beast` number, since 6 + 302 + 74 + 1 + 3 + 280 + 0 = 666.

It is a super-3 number, since 3×630274132800³ (a number of 36 digits) contains 333 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 47 ways as a sum of consecutive naturals, for example, 459 + ... + 1122741.

Almost surely, 2^630274132800 is an apocalyptic number.

630274132800 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 630274132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237160990240).

630274132800 is an abundant number, since it is smaller than the sum of its proper divisors (1844047847680).

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

630274132800 is a wasteful number, since it uses less digits than its factorization.

630274132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122327 (or 1122306 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 630274132800 in words is "six hundred thirty billion, two hundred seventy-four million, one hundred thirty-two thousand, eight hundred".