9814495680 has 448 divisors, whose sum is σ = 38805672960. Its totient is φ = 2314137600.

The previous prime is 9814495609. The next prime is 9814495687. The reversal of 9814495680 is 865944189.

9814495680 is a `hidden beast` number, since 98 + 1 + 4 + 495 + 68 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9814495687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3515085 + ... + 3517875.

Almost surely, 2^9814495680 is an apocalyptic number.

9814495680 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 9814495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19402836480).

9814495680 is an abundant number, since it is smaller than the sum of its proper divisors (28991177280).

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

9814495680 is a wasteful number, since it uses less digits than its factorization.

9814495680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 9814495680 is about 99068.1365525768. The cubic root of 9814495680 is about 2141.0295567147.

The spelling of 9814495680 in words is "nine billion, eight hundred fourteen million, four hundred ninety-five thousand, six hundred eighty".