634350647040 has 1152 divisors, whose sum is σ = 2403194572800. Its totient is φ = 140985630720.

The previous prime is 634350647039. The next prime is 634350647083. The reversal of 634350647040 is 40746053436.

It is a junction number, because it is equal to n+sod(n) for n = 634350646983 and 634350647001.

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 127 ways as a sum of consecutive naturals, for example, 5928510667 + ... + 5928510773.

It is an arithmetic number, because the mean of its divisors is an integer number (2086106400).

Almost surely, 2^634350647040 is an apocalyptic number.

634350647040 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 634350647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201597286400).

634350647040 is an abundant number, since it is smaller than the sum of its proper divisors (1768843925760).

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

634350647040 is a wasteful number, since it uses less digits than its factorization.

634350647040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 42.

The spelling of 634350647040 in words is "six hundred thirty-four billion, three hundred fifty million, six hundred forty-seven thousand, forty".