634311614664 has 384 divisors, whose sum is σ = 2131509219840. Its totient is φ = 165940862976.

The previous prime is 634311614663. The next prime is 634311614683. The reversal of 634311614664 is 466416113436.

634311614664 is a `hidden beast` number, since 6 + 3 + 431 + 16 + 146 + 64 = 666.

634311614664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (634311614663) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 649243744 + ... + 649244720.

It is an arithmetic number, because the mean of its divisors is an integer number (5550805260).

Almost surely, 2^634311614664 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 634311614664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065754609920).

634311614664 is an abundant number, since it is smaller than the sum of its proper divisors (1497197605176).

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

634311614664 is a wasteful number, since it uses less digits than its factorization.

634311614664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1702 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 634311614664 in words is "six hundred thirty-four billion, three hundred eleven million, six hundred fourteen thousand, six hundred sixty-four".