83247484320 has 2688 divisors, whose sum is σ = 426454253568. Its totient is φ = 14780620800.

The previous prime is 83247484237. The next prime is 83247484339. The reversal of 83247484320 is 2348474238.

83247484320 is a `hidden beast` number, since 8 + 3 + 247 + 4 + 84 + 320 = 666.

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 447 ways as a sum of consecutive naturals, for example, 2685402705 + ... + 2685402735.

It is an arithmetic number, because the mean of its divisors is an integer number (158651136).

Almost surely, 2^83247484320 is an apocalyptic number.

83247484320 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 83247484320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213227126784).

83247484320 is an abundant number, since it is smaller than the sum of its proper divisors (343206769248).

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

83247484320 is a wasteful number, since it uses less digits than its factorization.

83247484320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 83247484320 in words is "eighty-three billion, two hundred forty-seven million, four hundred eighty-four thousand, three hundred twenty".