634005974140 has 192 divisors, whose sum is σ = 1699824107520. Its totient is φ = 192871445760.

The previous prime is 634005974137. The next prime is 634005974149. The reversal of 634005974140 is 41479500436.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634005974149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116478259 + ... + 116483701.

It is an arithmetic number, because the mean of its divisors is an integer number (8853250560).

Almost surely, 2^634005974140 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 634005974140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849912053760).

634005974140 is an abundant number, since it is smaller than the sum of its proper divisors (1065818133380).

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

634005974140 is a wasteful number, since it uses less digits than its factorization.

634005974140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7272 (or 7270 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 634005974140 in words is "six hundred thirty-four billion, five million, nine hundred seventy-four thousand, one hundred forty".