634857143424 has 128 divisors (see below), whose sum is σ = 1928838441600. Its totient is φ = 181237776384.

The previous prime is 634857143413. The next prime is 634857143447. The reversal of 634857143424 is 424341758436.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3174262 + ... + 3368330.

It is an arithmetic number, because the mean of its divisors is an integer number (15069050325).

Almost surely, 2^634857143424 is an apocalyptic number.

634857143424 is a gapful number since it is divisible by the number (64) 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 634857143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964419220800).

634857143424 is an abundant number, since it is smaller than the sum of its proper divisors (1293981298176).

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

634857143424 is a wasteful number, since it uses less digits than its factorization.

634857143424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195310 (or 195298 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 51.

The spelling of 634857143424 in words is "six hundred thirty-four billion, eight hundred fifty-seven million, one hundred forty-three thousand, four hundred twenty-four".