634558909440 has 264 divisors, whose sum is σ = 2097228630960. Its totient is φ = 163753328640.

The previous prime is 634558909399. The next prime is 634558909447. The reversal of 634558909440 is 44909855436.

It is a super-2 number, since 2×634558909440² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (634558909447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14739466 + ... + 14782454.

Almost surely, 2^634558909440 is an apocalyptic number.

634558909440 is a gapful number since it is divisible by the number (60) 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 634558909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048614315480).

634558909440 is an abundant number, since it is smaller than the sum of its proper divisors (1462669721520).

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

634558909440 is a wasteful number, since it uses less digits than its factorization.

634558909440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43079 (or 43030 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 57.

The spelling of 634558909440 in words is "six hundred thirty-four billion, five hundred fifty-eight million, nine hundred nine thousand, four hundred forty".