779228237168640 has 4096 divisors, whose sum is σ = 3432123104256000. Its totient is φ = 165855979634688.

The previous prime is 779228237168611. The next prime is 779228237168681. The reversal of 779228237168640 is 46861732822977.

779228237168640 is a `hidden beast` number, since 7 + 7 + 9 + 228 + 237 + 168 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4096).

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

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, 3955473285022 + ... + 3955473285218.

It is an arithmetic number, because the mean of its divisors is an integer number (837920679750).

Almost surely, 2^{779228237168640} is an apocalyptic number.

779228237168640 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 779228237168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716061552128000).

779228237168640 is an abundant number, since it is smaller than the sum of its proper divisors (2652894867087360).

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

779228237168640 is an frugal number, since it uses more digits than its factorization.

779228237168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 682795008, while the sum is 72.

The spelling of 779228237168640 in words is "seven hundred seventy-nine trillion, two hundred twenty-eight billion, two hundred thirty-seven million, one hundred sixty-eight thousand, six hundred forty".