7849282680 has 384 divisors, whose sum is σ = 27903657600. Its totient is φ = 1907490816.

The previous prime is 7849282663. The next prime is 7849282681. The reversal of 7849282680 is 862829487.

7849282680 is a `hidden beast` number, since 78 + 492 + 8 + 2 + 6 + 80 = 666.

It is a super-2 number, since 2×7849282680² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7849282681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23291472 + ... + 23291808.

It is an arithmetic number, because the mean of its divisors is an integer number (72665775).

Almost surely, 2^7849282680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7849282680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13951828800).

7849282680 is an abundant number, since it is smaller than the sum of its proper divisors (20054374920).

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

7849282680 is a wasteful number, since it uses less digits than its factorization.

7849282680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 7849282680 is about 88596.1775699155. The cubic root of 7849282680 is about 1987.3605132913.

The spelling of 7849282680 in words is "seven billion, eight hundred forty-nine million, two hundred eighty-two thousand, six hundred eighty".