807281374968 has 768 divisors, whose sum is σ = 2644219468800. Its totient is φ = 229154365440.

The previous prime is 807281374859. The next prime is 807281374969. The reversal of 807281374968 is 869473182708.

807281374968 is a `hidden beast` number, since 8 + 0 + 7 + 2 + 8 + 137 + 496 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807281374969) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1168279503 + ... + 1168280193.

It is an arithmetic number, because the mean of its divisors is an integer number (3442994100).

Almost surely, 2^807281374968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 807281374968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322109734400).

807281374968 is an abundant number, since it is smaller than the sum of its proper divisors (1836938093832).

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

807281374968 is a wasteful number, since it uses less digits than its factorization.

807281374968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 807281374968 in words is "eight hundred seven billion, two hundred eighty-one million, three hundred seventy-four thousand, nine hundred sixty-eight".