2977668864 has 180 divisors, whose sum is σ = 9402269184. Its totient is φ = 934060032.

The previous prime is 2977668853. The next prime is 2977668871. The reversal of 2977668864 is 4688667792.

2977668864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 348289 + ... + 356735.

Almost surely, 2^2977668864 is an apocalyptic number.

2977668864 is a gapful number since it is divisible by the number (24) 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 2977668864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4701134592).

2977668864 is an abundant number, since it is smaller than the sum of its proper divisors (6424600320).

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

2977668864 is an equidigital number, since it uses as much as digits as its factorization.

2977668864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8492 (or 8469 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The square root of 2977668864 is about 54568.0205248459. The cubic root of 2977668864 is about 1438.6620906618.

The spelling of 2977668864 in words is "two billion, nine hundred seventy-seven million, six hundred sixty-eight thousand, eight hundred sixty-four".