252630343680 has 672 divisors, whose sum is σ = 957617543232. Its totient is φ = 56489410560.

The previous prime is 252630343673. The next prime is 252630343709. The reversal of 252630343680 is 86343036252.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193289587 + ... + 193290893.

It is an arithmetic number, because the mean of its divisors is an integer number (1425026106).

Almost surely, 2^252630343680 is an apocalyptic number.

252630343680 is a gapful number since it is divisible by the number (20) 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 252630343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478808771616).

252630343680 is an abundant number, since it is smaller than the sum of its proper divisors (704987199552).

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

252630343680 is a wasteful number, since it uses less digits than its factorization.

252630343680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 252630343680 in words is "two hundred fifty-two billion, six hundred thirty million, three hundred forty-three thousand, six hundred eighty".