807681332460042 has 64 divisors (see below), whose sum is σ = 1813410774489600. Its totient is φ = 266444936654400.

The previous prime is 807681332460007. The next prime is 807681332460043. The reversal of 807681332460042 is 240064233186708.

807681332460042 is a `hidden beast` number, since 8 + 0 + 7 + 6 + 8 + 1 + 3 + 3 + 24 + 600 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (807681332460043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19903117 + ... + 44849712.

It is an arithmetic number, because the mean of its divisors is an integer number (28334543351400).

Almost surely, 2^{807681332460042} is an apocalyptic number.

807681332460042 is an abundant number, since it is smaller than the sum of its proper divisors (1005729442029558).

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

807681332460042 is a wasteful number, since it uses less digits than its factorization.

807681332460042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64755228 (or 64755222 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 807681332460042 in words is "eight hundred seven trillion, six hundred eighty-one billion, three hundred thirty-two million, four hundred sixty thousand, forty-two".