82704424320 has 384 divisors, whose sum is σ = 326848392000. Its totient is φ = 18877169664.

The previous prime is 82704424291. The next prime is 82704424373. The reversal of 82704424320 is 2342440728.

82704424320 is a `hidden beast` number, since 8 + 270 + 44 + 24 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49552446 + ... + 49554114.

Almost surely, 2^82704424320 is an apocalyptic number.

82704424320 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 82704424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163424196000).

82704424320 is an abundant number, since it is smaller than the sum of its proper divisors (244143967680).

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

82704424320 is a wasteful number, since it uses less digits than its factorization.

82704424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2930 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 82704424320 in words is "eighty-two billion, seven hundred four million, four hundred twenty-four thousand, three hundred twenty".