630948864000 has 1792 divisors, whose sum is σ = 2697561345024. Its totient is φ = 127401984000.

The previous prime is 630948863989. The next prime is 630948864011. The reversal of 630948864000 is 468849036.

It is an interprime number because it is at equal distance from previous prime (630948863989) and next prime (630948864011).

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10343423970 + ... + 10343424030.

It is an arithmetic number, because the mean of its divisors is an integer number (1505335572).

Almost surely, 2^630948864000 is an apocalyptic number.

630948864000 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 630948864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348780672512).

630948864000 is an abundant number, since it is smaller than the sum of its proper divisors (2066612481024).

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

630948864000 is a wasteful number, since it uses less digits than its factorization.

630948864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 630948864000 in words is "six hundred thirty billion, nine hundred forty-eight million, eight hundred sixty-four thousand".