10207484760 has 512 divisors, whose sum is σ = 37791360000. Its totient is φ = 2173501440.

The previous prime is 10207484759. The next prime is 10207484783. The reversal of 10207484760 is 6748470201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37945906 + ... + 37946174.

It is an arithmetic number, because the mean of its divisors is an integer number (73811250).

Almost surely, 2^10207484760 is an apocalyptic number.

10207484760 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 10207484760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18895680000).

10207484760 is an abundant number, since it is smaller than the sum of its proper divisors (27583875240).

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

10207484760 is a wasteful number, since it uses less digits than its factorization.

10207484760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The spelling of 10207484760 in words is "ten billion, two hundred seven million, four hundred eighty-four thousand, seven hundred sixty".