2676379680 has 144 divisors (see below), whose sum is σ = 9835764120. Its totient is φ = 658796544.

The previous prime is 2676379663. The next prime is 2676379711. The reversal of 2676379680 is 869736762.

2676379680 is a `hidden beast` number, since 267 + 6 + 379 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 852406416 + 1823973264 = 29196^2 + 42708^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52765 + ... + 90204.

Almost surely, 2^2676379680 is an apocalyptic number.

2676379680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2676379680 is an abundant number, since it is smaller than the sum of its proper divisors (7159384440).

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

2676379680 is a wasteful number, since it uses less digits than its factorization.

2676379680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143003 (or 142992 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 2676379680 is about 51733.7383145661. The cubic root of 2676379680 is about 1388.4041654807.

The spelling of 2676379680 in words is "two billion, six hundred seventy-six million, three hundred seventy-nine thousand, six hundred eighty".