768847044075264 has 2880 divisors, whose sum is σ = 3010497374438400. Its totient is φ = 194125448724480.

The previous prime is 768847044075247. The next prime is 768847044075269. The reversal of 768847044075264 is 462570440748867.

It is a happy number.

768847044075264 is a `hidden beast` number, since 7 + 6 + 8 + 8 + 4 + 70 + 440 + 7 + 52 + 64 = 666.

768847044075264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×768847044075264² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 768847044075192 and 768847044075201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768847044075269) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 703428219102 + ... + 703428220194.

Almost surely, 2^{768847044075264} is an apocalyptic number.

768847044075264 is a gapful number since it is divisible by the number (74) 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 768847044075264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505248687219200).

768847044075264 is an abundant number, since it is smaller than the sum of its proper divisors (2241650330363136).

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

768847044075264 is an frugal number, since it uses more digits than its factorization.

768847044075264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 2023096320, while the sum is 72.

The spelling of 768847044075264 in words is "seven hundred sixty-eight trillion, eight hundred forty-seven billion, forty-four million, seventy-five thousand, two hundred sixty-four".