82642083840 has 1008 divisors, whose sum is σ = 327176635968. Its totient is φ = 19970260992.

The previous prime is 82642083791. The next prime is 82642083847. The reversal of 82642083840 is 4838024628.

82642083840 is a `hidden beast` number, since 8 + 2 + 64 + 208 + 384 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (82642083847) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3593134069 + ... + 3593134091.

It is an arithmetic number, because the mean of its divisors is an integer number (324579996).

Almost surely, 2^82642083840 is an apocalyptic number.

82642083840 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 82642083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163588317984).

82642083840 is an abundant number, since it is smaller than the sum of its proper divisors (244534552128).

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

82642083840 is an equidigital number, since it uses as much as digits as its factorization.

82642083840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 82642083840 in words is "eighty-two billion, six hundred forty-two million, eighty-three thousand, eight hundred forty".