9260673840 has 640 divisors, whose sum is σ = 37373322240. Its totient is φ = 2082816000.

The previous prime is 9260673827. The next prime is 9260673881. The reversal of 9260673840 is 483760629.

9260673840 is a `hidden beast` number, since 9 + 2 + 606 + 7 + 38 + 4 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 40795807 + ... + 40796033.

It is an arithmetic number, because the mean of its divisors is an integer number (58395816).

Almost surely, 2^9260673840 is an apocalyptic number.

9260673840 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 9260673840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18686661120).

9260673840 is an abundant number, since it is smaller than the sum of its proper divisors (28112648400).

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

9260673840 is a wasteful number, since it uses less digits than its factorization.

9260673840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 9260673840 is about 96232.3949613642. The cubic root of 9260673840 is about 2099.9753466494.

The spelling of 9260673840 in words is "nine billion, two hundred sixty million, six hundred seventy-three thousand, eight hundred forty".