82429074000 has 1440 divisors, whose sum is σ = 368155008000. Its totient is φ = 17171481600.

The previous prime is 82429073977. The next prime is 82429074031. The reversal of 82429074000 is 47092428.

82429074000 is a `hidden beast` number, since 8 + 242 + 9 + 0 + 7 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1043405961 + ... + 1043406039.

It is an arithmetic number, because the mean of its divisors is an integer number (255663200).

Almost surely, 2^82429074000 is an apocalyptic number.

82429074000 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 82429074000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184077504000).

82429074000 is an abundant number, since it is smaller than the sum of its proper divisors (285725934000).

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

82429074000 is a wasteful number, since it uses less digits than its factorization.

82429074000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 82429074000 in words is "eighty-two billion, four hundred twenty-nine million, seventy-four thousand".