768210050160 has 1280 divisors, whose sum is σ = 3327558451200. Its totient is φ = 158854348800.

The previous prime is 768210050147. The next prime is 768210050171. The reversal of 768210050160 is 61050012867.

768210050160 is a `hidden beast` number, since 7 + 6 + 82 + 10 + 0 + 501 + 60 = 666.

768210050160 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1824726750 + ... + 1824727170.

It is an arithmetic number, because the mean of its divisors is an integer number (2599655040).

Almost surely, 2^768210050160 is an apocalyptic number.

768210050160 is a gapful number since it is divisible by the number (70) 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 768210050160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663779225600).

768210050160 is an abundant number, since it is smaller than the sum of its proper divisors (2559348401040).

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

768210050160 is a wasteful number, since it uses less digits than its factorization.

768210050160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 768210050160 in words is "seven hundred sixty-eight billion, two hundred ten million, fifty thousand, one hundred sixty".