2767978797672 has 192 divisors, whose sum is σ = 8250084057600. Its totient is φ = 770186137600.

The previous prime is 2767978797607. The next prime is 2767978797673.

2767978797672 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2767978797673) 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 47 ways as a sum of consecutive naturals, for example, 1340329 + ... + 2707847.

It is an arithmetic number, because the mean of its divisors is an integer number (42969187800).

Almost surely, 2^{2767978797672} is an apocalyptic number.

2767978797672 is a gapful number since it is divisible by the number (22) 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 2767978797672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4125042028800).

2767978797672 is an abundant number, since it is smaller than the sum of its proper divisors (5482105259928).

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

2767978797672 is a wasteful number, since it uses less digits than its factorization.

2767978797672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367608 (or 1367593 counting only the distinct ones).

The product of its digits is 10978063488, while the sum is 84.

The spelling of 2767978797672 in words is "two trillion, seven hundred sixty-seven billion, nine hundred seventy-eight million, seven hundred ninety-seven thousand, six hundred seventy-two".