2768192577920 has 1536 divisors, whose sum is σ = 9277023052800. Its totient is φ = 778362224640.

The previous prime is 2768192577919. The next prime is 2768192577923. The reversal of 2768192577920 is 297752918672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2768192577923) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12194680847 + ... + 12194681073.

It is an arithmetic number, because the mean of its divisors is an integer number (6039728550).

Almost surely, 2^{2768192577920} is an apocalyptic number.

2768192577920 is a gapful number since it is divisible by the number (20) 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 2768192577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4638511526400).

2768192577920 is an abundant number, since it is smaller than the sum of its proper divisors (6508830474880).

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

2768192577920 is a wasteful number, since it uses less digits than its factorization.

2768192577920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 65.

The spelling of 2768192577920 in words is "two trillion, seven hundred sixty-eight billion, one hundred ninety-two million, five hundred seventy-seven thousand, nine hundred twenty".