82874327040 has 280 divisors, whose sum is σ = 297113568840. Its totient is φ = 22098935808.

The previous prime is 82874327023. The next prime is 82874327117. The reversal of 82874327040 is 4072347828.

82874327040 is a `hidden beast` number, since 8 + 287 + 4 + 327 + 0 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3305271 + ... + 3330249.

Almost surely, 2^82874327040 is an apocalyptic number.

82874327040 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 82874327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148556784420).

82874327040 is an abundant number, since it is smaller than the sum of its proper divisors (214239241800).

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

82874327040 is an equidigital number, since it uses as much as digits as its factorization.

82874327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25022 (or 24989 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 82874327040 in words is "eighty-two billion, eight hundred seventy-four million, three hundred twenty-seven thousand, forty".