802405677681 has 32 divisors (see below), whose sum is σ = 1200475624320. Its totient is φ = 529665348672.

The previous prime is 802405677641. The next prime is 802405677691. The reversal of 802405677681 is 186776504208.

802405677681 is a `hidden beast` number, since 8 + 0 + 2 + 4 + 0 + 567 + 76 + 8 + 1 = 666.

It is not a de Polignac number, because 802405677681 - 2⁷ = 802405677553 is a prime.

It is a super-2 number, since 2×802405677681² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (802405677641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5629611 + ... + 5770383.

It is an arithmetic number, because the mean of its divisors is an integer number (37514863260).

Almost surely, 2^802405677681 is an apocalyptic number.

It is an amenable number.

802405677681 is a deficient number, since it is larger than the sum of its proper divisors (398069946639).

802405677681 is a wasteful number, since it uses less digits than its factorization.

802405677681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142862 (or 142856 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

It can be divided in two parts, 80240 and 5677681, that added together give a triangular number (5757921 = T₃₃₉₃).

The spelling of 802405677681 in words is "eight hundred two billion, four hundred five million, six hundred seventy-seven thousand, six hundred eighty-one".