1634512768 has 128 divisors (see below), whose sum is σ = 3818880000. Its totient is φ = 682463232.

The previous prime is 1634512757. The next prime is 1634512793. The reversal of 1634512768 is 8672154361.

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

It is a congruent number.

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, 8213533 + ... + 8213731.

It is an arithmetic number, because the mean of its divisors is an integer number (29835000).

Almost surely, 2^1634512768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1634512768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909440000).

1634512768 is an abundant number, since it is smaller than the sum of its proper divisors (2184367232).

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

1634512768 is a wasteful number, since it uses less digits than its factorization.

1634512768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 400 counting only the distinct ones).

The product of its digits is 241920, while the sum is 43.

The square root of 1634512768 is about 40429.1079298072. The cubic root of 1634512768 is about 1177.9570049731.

The spelling of 1634512768 in words is "one billion, six hundred thirty-four million, five hundred twelve thousand, seven hundred sixty-eight".