634409142865920 has 936 divisors, whose sum is σ = 2406809798711136. Its totient is φ = 160271329591296.

The previous prime is 634409142865913. The next prime is 634409142865931. The reversal of 634409142865920 is 29568241904436.

634409142865920 is a `hidden beast` number, since 6 + 3 + 4 + 4 + 0 + 9 + 14 + 28 + 6 + 592 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1796390479 + ... + 1796743601.

It is an arithmetic number, because the mean of its divisors is an integer number (2571377990076).

Almost surely, 2^{634409142865920} is an apocalyptic number.

634409142865920 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 634409142865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203404899355568).

634409142865920 is an abundant number, since it is smaller than the sum of its proper divisors (1772400655845216).

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

634409142865920 is an equidigital number, since it uses as much as digits as its factorization.

634409142865920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353205 (or 353152 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 634409142865920 in words is "six hundred thirty-four trillion, four hundred nine billion, one hundred forty-two million, eight hundred sixty-five thousand, nine hundred twenty".