82638817920 has 768 divisors, whose sum is σ = 311590056960. Its totient is φ = 20901888000.

The previous prime is 82638817913. The next prime is 82638817939. The reversal of 82638817920 is 2971883628.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 294088180 + ... + 294088460.

It is an arithmetic number, because the mean of its divisors is an integer number (405716220).

Almost surely, 2^82638817920 is an apocalyptic number.

82638817920 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 82638817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155795028480).

82638817920 is an abundant number, since it is smaller than the sum of its proper divisors (228951239040).

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

82638817920 is a wasteful number, since it uses less digits than its factorization.

82638817920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 82638817920 in words is "eighty-two billion, six hundred thirty-eight million, eight hundred seventeen thousand, nine hundred twenty".