627716630541000 has 2048 divisors, whose sum is σ = 2651847380582400. Its totient is φ = 120095239680000.

The previous prime is 627716630540981. The next prime is 627716630541023. The reversal of 627716630541000 is 145036617726.

It is a happy number.

627716630541000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 233960725659 + ... + 233960728341.

It is an arithmetic number, because the mean of its divisors is an integer number (1294847353800).

Almost surely, 2^{627716630541000} is an apocalyptic number.

627716630541000 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 627716630541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325923690291200).

627716630541000 is an abundant number, since it is smaller than the sum of its proper divisors (2024130750041400).

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

627716630541000 is a wasteful number, since it uses less digits than its factorization.

627716630541000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3225 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 627716630541000 in words is "six hundred twenty-seven trillion, seven hundred sixteen billion, six hundred thirty million, five hundred forty-one thousand".