82034726400 has 600 divisors, whose sum is σ = 331264103544. Its totient is φ = 19884441600.

The previous prime is 82034726393. The next prime is 82034726429. The reversal of 82034726400 is 462743028.

82034726400 is a `hidden beast` number, since 8 + 2 + 0 + 3 + 4 + 7 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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 59 ways as a sum of consecutive naturals, for example, 11401204 + ... + 11408396.

Almost surely, 2^82034726400 is an apocalyptic number.

82034726400 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 82034726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165632051772).

82034726400 is an abundant number, since it is smaller than the sum of its proper divisors (249229377144).

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

82034726400 is a wasteful number, since it uses less digits than its factorization.

82034726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7244 (or 7214 counting only the distinct ones).

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

The spelling of 82034726400 in words is "eighty-two billion, thirty-four million, seven hundred twenty-six thousand, four hundred".