2761670761672 has 32 divisors (see below), whose sum is σ = 5317523003520. Its totient is φ = 1343989264320.

The previous prime is 2761670761657. The next prime is 2761670761687.

2761670761672 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2761670761657) and next prime (2761670761687).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20221638 + ... + 20357749.

It is an arithmetic number, because the mean of its divisors is an integer number (166172593860).

Almost surely, 2^{2761670761672} is an apocalyptic number.

It is an amenable number.

2761670761672 is a deficient number, since it is larger than the sum of its proper divisors (2555852241848).

2761670761672 is a wasteful number, since it uses less digits than its factorization.

2761670761672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40579621 (or 40579617 counting only the distinct ones).

The product of its (nonzero) digits is 12446784, while the sum is 58.

The spelling of 2761670761672 in words is "two trillion, seven hundred sixty-one billion, six hundred seventy million, seven hundred sixty-one thousand, six hundred seventy-two".