634016727040 has 128 divisors (see below), whose sum is σ = 1574098272000. Its totient is φ = 244859797504.

The previous prime is 634016727017. The next prime is 634016727061. The reversal of 634016727040 is 40727610436.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×634016727040³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 634016726984 and 634016727002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4684641 + ... + 4818079.

It is an arithmetic number, because the mean of its divisors is an integer number (12297642750).

Almost surely, 2^634016727040 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 634016727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787049136000).

634016727040 is an abundant number, since it is smaller than the sum of its proper divisors (940081544960).

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

634016727040 is an equidigital number, since it uses as much as digits as its factorization.

634016727040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133503 (or 133475 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The spelling of 634016727040 in words is "six hundred thirty-four billion, sixteen million, seven hundred twenty-seven thousand, forty".