793003457884968 has 384 divisors, whose sum is σ = 2478581791096320. Its totient is φ = 235484669871360.

The previous prime is 793003457884907. The next prime is 793003457885011. The reversal of 793003457884968 is 869488754300397.

It is a happy number.

793003457884968 is a `hidden beast` number, since 7 + 9 + 3 + 0 + 0 + 3 + 45 + 7 + 88 + 496 + 8 = 666.

It is a super-2 number, since 2×793003457884968² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 936859071 + ... + 937705137.

It is an arithmetic number, because the mean of its divisors is an integer number (6454640080980).

Almost surely, 2^{793003457884968} 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 793003457884968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239290895548160).

793003457884968 is an abundant number, since it is smaller than the sum of its proper divisors (1685578333211352).

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

793003457884968 is a wasteful number, since it uses less digits than its factorization.

793003457884968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846979 (or 846963 counting only the distinct ones).

The product of its (nonzero) digits is 8778792960, while the sum is 81.

The spelling of 793003457884968 in words is "seven hundred ninety-three trillion, three billion, four hundred fifty-seven million, eight hundred eighty-four thousand, nine hundred sixty-eight".