630443551374000 has 11520 divisors, whose sum is σ = 3269873114726400. Its totient is φ = 114563248128000.

The previous prime is 630443551373959. The next prime is 630443551374001. The reversal of 630443551374000 is 473155344036.

630443551374000 is a `hidden beast` number, since 6 + 30 + 4 + 4 + 35 + 513 + 74 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×630443551374000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (630443551374001) by changing a digit.

It is a polite number, since it can be written in 2303 ways as a sum of consecutive naturals, for example, 17039014901982 + ... + 17039014902018.

It is an arithmetic number, because the mean of its divisors is an integer number (283843152320).

Almost surely, 2^{630443551374000} is an apocalyptic number.

630443551374000 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 630443551374000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634936557363200).

630443551374000 is an abundant number, since it is smaller than the sum of its proper divisors (2639429563352400).

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

630443551374000 is a wasteful number, since it uses less digits than its factorization.

630443551374000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 630443551374000 in words is "six hundred thirty trillion, four hundred forty-three billion, five hundred fifty-one million, three hundred seventy-four thousand".