82604491200 has 1344 divisors, whose sum is σ = 395488972800. Its totient is φ = 16248729600.

The previous prime is 82604491187. The next prime is 82604491213. The reversal of 82604491200 is 219440628.

82604491200 is a `hidden beast` number, since 8 + 2 + 6 + 0 + 449 + 1 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (82604491187) and next prime (82604491213).

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63200947 + ... + 63202253.

Almost surely, 2^82604491200 is an apocalyptic number.

82604491200 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 82604491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197744486400).

82604491200 is an abundant number, since it is smaller than the sum of its proper divisors (312884481600).

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

82604491200 is a wasteful number, since it uses less digits than its factorization.

82604491200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 82604491200 in words is "eighty-two billion, six hundred four million, four hundred ninety-one thousand, two hundred".