82427026032 has 480 divisors, whose sum is σ = 272106542400. Its totient is φ = 23743051776.

The previous prime is 82427025991. The next prime is 82427026037. The reversal of 82427026032 is 23062072428.

It is a happy number.

82427026032 is a `hidden beast` number, since 8 + 2 + 42 + 7 + 0 + 2 + 603 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82427026037) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 220983798 + ... + 220984170.

It is an arithmetic number, because the mean of its divisors is an integer number (566888630).

Almost surely, 2^82427026032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82427026032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136053271200).

82427026032 is an abundant number, since it is smaller than the sum of its proper divisors (189679516368).

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

82427026032 is a wasteful number, since it uses less digits than its factorization.

82427026032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 82427026032 in words is "eighty-two billion, four hundred twenty-seven million, twenty-six thousand, thirty-two".