82434824640 has 504 divisors, whose sum is σ = 341224453440. Its totient is φ = 18191609856.

The previous prime is 82434824623. The next prime is 82434824657. The reversal of 82434824640 is 4642843428.

82434824640 is a `hidden beast` number, since 8 + 24 + 348 + 246 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (82434824623) and next prime (82434824657).

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×82434824640² (a number of 23 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4082409 + ... + 4102551.

Almost surely, 2^82434824640 is an apocalyptic number.

82434824640 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 82434824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170612226720).

82434824640 is an abundant number, since it is smaller than the sum of its proper divisors (258789628800).

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

82434824640 is a wasteful number, since it uses less digits than its factorization.

82434824640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20209 (or 20189 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 82434824640 in words is "eighty-two billion, four hundred thirty-four million, eight hundred twenty-four thousand, six hundred forty".