768199614336 has 1920 divisors, whose sum is σ = 3184330786560. Its totient is φ = 177951375360.

The previous prime is 768199614307. The next prime is 768199614337. The reversal of 768199614336 is 633416991867.

768199614336 is a `hidden beast` number, since 7 + 6 + 8 + 1 + 9 + 9 + 614 + 3 + 3 + 6 = 666.

768199614336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768199614337) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7179435595 + ... + 7179435701.

It is an arithmetic number, because the mean of its divisors is an integer number (1658505618).

Almost surely, 2^768199614336 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 768199614336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592165393280).

768199614336 is an abundant number, since it is smaller than the sum of its proper divisors (2416131172224).

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

768199614336 is a wasteful number, since it uses less digits than its factorization.

768199614336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 170 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 768199614336 in words is "seven hundred sixty-eight billion, one hundred ninety-nine million, six hundred fourteen thousand, three hundred thirty-six".