630987712417440 has 960 divisors, whose sum is σ = 2556520138529280. Its totient is φ = 143572799324160.

The previous prime is 630987712416877. The next prime is 630987712417549. The reversal of 630987712417440 is 44714217789036.

It is a happy number.

630987712417440 is a `hidden beast` number, since 6 + 3 + 0 + 9 + 87 + 71 + 2 + 41 + 7 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35526578160 + ... + 35526595920.

It is an arithmetic number, because the mean of its divisors is an integer number (2663041810968).

Almost surely, 2^{630987712417440} is an apocalyptic number.

630987712417440 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 630987712417440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278260069264640).

630987712417440 is an abundant number, since it is smaller than the sum of its proper divisors (1925532426111840).

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

630987712417440 is a wasteful number, since it uses less digits than its factorization.

630987712417440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19547 (or 19530 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 630987712417440 in words is "six hundred thirty trillion, nine hundred eighty-seven billion, seven hundred twelve million, four hundred seventeen thousand, four hundred forty".