10027629480 has 128 divisors (see below), whose sum is σ = 32889991680. Its totient is φ = 2425585920.

The previous prime is 10027629473. The next prime is 10027629511. The reversal of 10027629480 is 8492672001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 608307 + ... + 624573.

It is an arithmetic number, because the mean of its divisors is an integer number (256953060).

Almost surely, 2^10027629480 is an apocalyptic number.

10027629480 is a gapful number since it is divisible by the number (10) 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 10027629480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16444995840).

10027629480 is an abundant number, since it is smaller than the sum of its proper divisors (22862362200).

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

10027629480 is a wasteful number, since it uses less digits than its factorization.

10027629480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16759 (or 16755 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 10027629480 in words is "ten billion, twenty-seven million, six hundred twenty-nine thousand, four hundred eighty".