630467712000 has 2640 divisors, whose sum is σ = 2933640494928. Its totient is φ = 133772083200.

The previous prime is 630467711987. The next prime is 630467712001. The reversal of 630467712000 is 217764036.

630467712000 is a `hidden beast` number, since 630 + 4 + 6 + 7 + 7 + 12 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 106662334464 + 523805377536 = 326592^2 + 723744^2 .

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 (630467712001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8636543964 + ... + 8636544036.

Almost surely, 2^630467712000 is an apocalyptic number.

630467712000 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 630467712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466820247464).

630467712000 is an abundant number, since it is smaller than the sum of its proper divisors (2303172782928).

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

630467712000 is a wasteful number, since it uses less digits than its factorization.

630467712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 630467712000 in words is "six hundred thirty billion, four hundred sixty-seven million, seven hundred twelve thousand".