10004220760 has 64 divisors (see below), whose sum is σ = 23810086080. Its totient is φ = 3775242240.

The previous prime is 10004220731. The next prime is 10004220827. The reversal of 10004220760 is 6702240001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7321 + ... + 141640.

It is an arithmetic number, because the mean of its divisors is an integer number (372032595).

Almost surely, 2^10004220760 is an apocalyptic number.

10004220760 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 10004220760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11905043040).

10004220760 is an abundant number, since it is smaller than the sum of its proper divisors (13805865320).

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

10004220760 is a wasteful number, since it uses less digits than its factorization.

10004220760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149068 (or 149064 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

Adding to 10004220760 its reverse (6702240001), we get a palindrome (16706460761).

The spelling of 10004220760 in words is "ten billion, four million, two hundred twenty thousand, seven hundred sixty".