768491313408 has 1728 divisors, whose sum is σ = 3047489536000. Its totient is φ = 184354652160.

The previous prime is 768491313391. The next prime is 768491313413. The reversal of 768491313408 is 804313194867.

768491313408 is a `hidden beast` number, since 7 + 68 + 49 + 131 + 3 + 408 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6051112641 + ... + 6051112767.

Almost surely, 2^768491313408 is an apocalyptic number.

768491313408 is a gapful number since it is divisible by the number (78) 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 768491313408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523744768000).

768491313408 is an abundant number, since it is smaller than the sum of its proper divisors (2278998222592).

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

768491313408 is a wasteful number, since it uses less digits than its factorization.

768491313408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 768491313408 in words is "seven hundred sixty-eight billion, four hundred ninety-one million, three hundred thirteen thousand, four hundred eight".