634269394080 has 384 divisors, whose sum is σ = 2539499558400. Its totient is φ = 144837476352.

The previous prime is 634269394049. The next prime is 634269394081. The reversal of 634269394080 is 80493962436.

It is a super-2 number, since 2×634269394080² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (634269394081) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 33526704 + ... + 33545616.

It is an arithmetic number, because the mean of its divisors is an integer number (6613280100).

Almost surely, 2^634269394080 is an apocalyptic number.

634269394080 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 634269394080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269749779200).

634269394080 is an abundant number, since it is smaller than the sum of its proper divisors (1905230164320).

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

634269394080 is a wasteful number, since it uses less digits than its factorization.

634269394080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20053 (or 20039 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 634269394080 in words is "six hundred thirty-four billion, two hundred sixty-nine million, three hundred ninety-four thousand, eighty".