9768038670 has 512 divisors, whose sum is σ = 31422504960. Its totient is φ = 2163345408.

The previous prime is 9768038669. The next prime is 9768038723. The reversal of 9768038670 is 768308679.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 207830587 + ... + 207830633.

It is an arithmetic number, because the mean of its divisors is an integer number (61372080).

Almost surely, 2^9768038670 is an apocalyptic number.

9768038670 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9768038670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15711252480).

9768038670 is an abundant number, since it is smaller than the sum of its proper divisors (21654466290).

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

9768038670 is a wasteful number, since it uses less digits than its factorization.

9768038670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 9768038670 is about 98833.3884373090. The cubic root of 9768038670 is about 2137.6460177258.

The spelling of 9768038670 in words is "nine billion, seven hundred sixty-eight million, thirty-eight thousand, six hundred seventy".