634031476544 has 56 divisors (see below), whose sum is σ = 1282219109928. Its totient is φ = 310955673600.

The previous prime is 634031476517. The next prime is 634031476571. The reversal of 634031476544 is 445674130436.

It is an interprime number because it is at equal distance from previous prime (634031476517) and next prime (634031476571).

It can be written as a sum of positive squares in 4 ways, for example, as 467965446400 + 166066030144 = 684080^2 + 407512^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14757494 + ... + 14800394.

Almost surely, 2^634031476544 is an apocalyptic number.

634031476544 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 634031476544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641109554964).

634031476544 is an abundant number, since it is smaller than the sum of its proper divisors (648187633384).

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

634031476544 is a wasteful number, since it uses less digits than its factorization.

634031476544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47323 (or 47313 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 47.

The spelling of 634031476544 in words is "six hundred thirty-four billion, thirty-one million, four hundred seventy-six thousand, five hundred forty-four".