630629449632 has 1080 divisors, whose sum is σ = 2359967458212. Its totient is φ = 158749839360.

The previous prime is 630629449607. The next prime is 630629449657. The reversal of 630629449632 is 236944926036.

630629449632 is a `hidden beast` number, since 6 + 3 + 0 + 62 + 94 + 496 + 3 + 2 = 666.

630629449632 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (630629449607) and next prime (630629449657).

It can be written as a sum of positive squares in 2 ways, for example, as 614348710416 + 16280739216 = 783804^2 + 127596^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 8638759548 + ... + 8638759620.

Almost surely, 2^630629449632 is an apocalyptic number.

630629449632 is a gapful number since it is divisible by the number (62) 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 630629449632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179983729106).

630629449632 is an abundant number, since it is smaller than the sum of its proper divisors (1729338008580).

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

630629449632 is a wasteful number, since it uses less digits than its factorization.

630629449632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 630629449632 in words is "six hundred thirty billion, six hundred twenty-nine million, four hundred forty-nine thousand, six hundred thirty-two".