802706046412032 has 1008 divisors, whose sum is σ = 2888487072559872. Its totient is φ = 217702957547520.

The previous prime is 802706046412031. The next prime is 802706046412037. The reversal of 802706046412032 is 230214640607208.

It is a happy number.

802706046412032 is a `hidden beast` number, since 8 + 0 + 2 + 7 + 0 + 60 + 464 + 120 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802706046412031) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1981557733 + ... + 1981962779.

It is an arithmetic number, because the mean of its divisors is an integer number (2865562571984).

Almost surely, 2^{802706046412032} is an apocalyptic number.

802706046412032 is a gapful number since it is divisible by the number (82) 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 802706046412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444243536279936).

802706046412032 is an abundant number, since it is smaller than the sum of its proper divisors (2085781026147840).

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

802706046412032 is an equidigital number, since it uses as much as digits as its factorization.

802706046412032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405166 (or 405137 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 802706046412032 in words is "eight hundred two trillion, seven hundred six billion, forty-six million, four hundred twelve thousand, thirty-two".