634399477344 has 288 divisors, whose sum is σ = 1964673416160. Its totient is φ = 193508352000.

The previous prime is 634399477307. The next prime is 634399477357. The reversal of 634399477344 is 443774993436.

634399477344 is a `hidden beast` number, since 6 + 3 + 43 + 99 + 477 + 34 + 4 = 666.

634399477344 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22645554 + ... + 22673550.

It is an arithmetic number, because the mean of its divisors is an integer number (6821782695).

Almost surely, 2^634399477344 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 634399477344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982336708080).

634399477344 is an abundant number, since it is smaller than the sum of its proper divisors (1330273938816).

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

634399477344 is a wasteful number, since it uses less digits than its factorization.

634399477344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28174 (or 28163 counting only the distinct ones).

The product of its digits is 164602368, while the sum is 63.

The spelling of 634399477344 in words is "six hundred thirty-four billion, three hundred ninety-nine million, four hundred seventy-seven thousand, three hundred forty-four".