9191379960 has 512 divisors, whose sum is σ = 37497600000. Its totient is φ = 1955819520.

The previous prime is 9191379943. The next prime is 9191379971. The reversal of 9191379960 is 699731919.

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

It is a junction number, because it is equal to n+sod(n) for n = 9191379897 and 9191379906.

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, 8761516 + ... + 8762564.

It is an arithmetic number, because the mean of its divisors is an integer number (73237500).

Almost surely, 2^9191379960 is an apocalyptic number.

9191379960 is a gapful number since it is divisible by the number (90) 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 9191379960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800000).

9191379960 is an abundant number, since it is smaller than the sum of its proper divisors (28306220040).

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

9191379960 is a wasteful number, since it uses less digits than its factorization.

9191379960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 826686, while the sum is 54.

The square root of 9191379960 is about 95871.6848709774. The cubic root of 9191379960 is about 2094.7244724354.

The spelling of 9191379960 in words is "nine billion, one hundred ninety-one million, three hundred seventy-nine thousand, nine hundred sixty".