82320474436800 has 168 divisors, whose sum is σ = 270401676518400. Its totient is φ = 21925960811520.

The previous prime is 82320474436763. The next prime is 82320474436813. The reversal of 82320474436800 is 863447402328.

It is a super-2 number, since 2×82320474436800² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6193360 + ... + 14247759.

It is an arithmetic number, because the mean of its divisors is an integer number (1609533788800).

Almost surely, 2^{82320474436800} is an apocalyptic number.

82320474436800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82320474436800 is an abundant number, since it is smaller than the sum of its proper divisors (188081202081600).

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

82320474436800 is a wasteful number, since it uses less digits than its factorization.

82320474436800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20441983 (or 20441968 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 51.

The spelling of 82320474436800 in words is "eighty-two trillion, three hundred twenty billion, four hundred seventy-four million, four hundred thirty-six thousand, eight hundred".