634042911744 has 660 divisors, whose sum is σ = 2084565233920. Its totient is φ = 185469419520.

The previous prime is 634042911731. The next prime is 634042911751. The reversal of 634042911744 is 447119240436.

634042911744 is a `hidden beast` number, since 6 + 340 + 4 + 291 + 17 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 634042911744.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4992463809 + ... + 4992463935.

Almost surely, 2^634042911744 is an apocalyptic number.

634042911744 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 634042911744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042282616960).

634042911744 is an abundant number, since it is smaller than the sum of its proper divisors (1450522322176).

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

634042911744 is a wasteful number, since it uses less digits than its factorization.

634042911744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 634042911744 in words is "six hundred thirty-four billion, forty-two million, nine hundred eleven thousand, seven hundred forty-four".