83424742560 has 192 divisors, whose sum is σ = 304682031360. Its totient is φ = 21279329280.

The previous prime is 83424742547. The next prime is 83424742633. The reversal of 83424742560 is 6524742438.

It is a happy number.

83424742560 is a `hidden beast` number, since 8 + 3 + 4 + 2 + 47 + 42 + 560 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320451 + ... + 519170.

It is an arithmetic number, because the mean of its divisors is an integer number (1586885580).

Almost surely, 2^83424742560 is an apocalyptic number.

83424742560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83424742560 is an abundant number, since it is smaller than the sum of its proper divisors (221257288800).

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

83424742560 is a wasteful number, since it uses less digits than its factorization.

83424742560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839668 (or 839654 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 83424742560 in words is "eighty-three billion, four hundred twenty-four million, seven hundred forty-two thousand, five hundred sixty".