832806761099040 has 2880 divisors, whose sum is σ = 3726516781088640. Its totient is φ = 174316729466880.

The previous prime is 832806761099011. The next prime is 832806761099077. The reversal of 832806761099040 is 40990167608238.

832806761099040 is a `hidden beast` number, since 8 + 3 + 2 + 8 + 0 + 6 + 7 + 610 + 9 + 9 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 262797966576 + ... + 262797969744.

It is an arithmetic number, because the mean of its divisors is an integer number (1293929437878).

Almost surely, 2^{832806761099040} is an apocalyptic number.

832806761099040 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 832806761099040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863258390544320).

832806761099040 is an abundant number, since it is smaller than the sum of its proper divisors (2893710019989600).

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

832806761099040 is a wasteful number, since it uses less digits than its factorization.

832806761099040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3369 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 832806761099040 in words is "eight hundred thirty-two trillion, eight hundred six billion, seven hundred sixty-one million, ninety-nine thousand, forty".