634478848080 has 800 divisors, whose sum is σ = 2520738662400. Its totient is φ = 130916459520.

The previous prime is 634478848057. The next prime is 634478848097. The reversal of 634478848080 is 80848874436.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 159 ways as a sum of consecutive naturals, for example, 1261389109 + ... + 1261389611.

It is an arithmetic number, because the mean of its divisors is an integer number (3150923328).

Almost surely, 2^634478848080 is an apocalyptic number.

634478848080 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 634478848080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260369331200).

634478848080 is an abundant number, since it is smaller than the sum of its proper divisors (1886259814320).

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

634478848080 is a wasteful number, since it uses less digits than its factorization.

634478848080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 60.

The spelling of 634478848080 in words is "six hundred thirty-four billion, four hundred seventy-eight million, eight hundred forty-eight thousand, eighty".