8431274880 has 512 divisors, whose sum is σ = 34941772800. Its totient is φ = 1881169920.

The previous prime is 8431274851. The next prime is 8431274993. The reversal of 8431274880 is 884721348.

8431274880 is a `hidden beast` number, since 8 + 43 + 127 + 488 + 0 = 666.

It is a super-2 number, since 2×8431274880² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5200470 + ... + 5202090.

It is an arithmetic number, because the mean of its divisors is an integer number (68245650).

Almost surely, 2^8431274880 is an apocalyptic number.

8431274880 is a gapful number since it is divisible by the number (80) 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 8431274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17470886400).

8431274880 is an abundant number, since it is smaller than the sum of its proper divisors (26510497920).

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

8431274880 is a wasteful number, since it uses less digits than its factorization.

8431274880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 8431274880 is about 91821.9738406880. The cubic root of 8431274880 is about 2035.3124203653.

The spelling of 8431274880 in words is "eight billion, four hundred thirty-one million, two hundred seventy-four thousand, eight hundred eighty".