2779695802368 has 1344 divisors, whose sum is σ = 9452963520000. Its totient is φ = 812665405440.

The previous prime is 2779695802363. The next prime is 2779695802381. The reversal of 2779695802368 is 8632085969772.

2779695802368 is a `hidden beast` number, since 2 + 7 + 7 + 9 + 6 + 9 + 580 + 2 + 36 + 8 = 666.

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 = 2779695802296 and 2779695802305.

It is not an unprimeable number, because it can be changed into a prime (2779695802363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 25501796298 + ... + 25501796406.

It is an arithmetic number, because the mean of its divisors is an integer number (7033455000).

Almost surely, 2^{2779695802368} 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 2779695802368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4726481760000).

2779695802368 is an abundant number, since it is smaller than the sum of its proper divisors (6673267717632).

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

2779695802368 is a wasteful number, since it uses less digits than its factorization.

2779695802368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 2779695802368 in words is "two trillion, seven hundred seventy-nine billion, six hundred ninety-five million, eight hundred two thousand, three hundred sixty-eight".