82430694904320 has 960 divisors, whose sum is σ = 341865544204800. Its totient is φ = 18771567575040.

The previous prime is 82430694904273. The next prime is 82430694904373. The reversal of 82430694904320 is 2340949603428.

82430694904320 is a `hidden beast` number, since 8 + 2 + 4 + 30 + 6 + 94 + 90 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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, 917799576 + ... + 917889384.

It is an arithmetic number, because the mean of its divisors is an integer number (356109941880).

Almost surely, 2^{82430694904320} is an apocalyptic number.

82430694904320 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 82430694904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170932772102400).

82430694904320 is an abundant number, since it is smaller than the sum of its proper divisors (259434849300480).

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

82430694904320 is a wasteful number, since it uses less digits than its factorization.

82430694904320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90126 (or 90097 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 82430694904320 in words is "eighty-two trillion, four hundred thirty billion, six hundred ninety-four million, nine hundred four thousand, three hundred twenty".