2760636672 has 216 divisors, whose sum is σ = 8354236800. Its totient is φ = 875556864.

The previous prime is 2760636667. The next prime is 2760636691. The reversal of 2760636672 is 2766360672.

2760636672 is a `hidden beast` number, since 2 + 7 + 6 + 0 + 636 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×2760636672² = 15242229669582471168, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5278203 + ... + 5278725.

Almost surely, 2^2760636672 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 2760636672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4177118400).

2760636672 is an abundant number, since it is smaller than the sum of its proper divisors (5593600128).

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

2760636672 is a wasteful number, since it uses less digits than its factorization.

2760636672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 2760636672 is about 52541.7612190532. The cubic root of 2760636672 is about 1402.8236670891.

The spelling of 2760636672 in words is "two billion, seven hundred sixty million, six hundred thirty-six thousand, six hundred seventy-two".