2763427564464 has 160 divisors (see below), whose sum is σ = 8583568283136. Its totient is φ = 749474519040.

The previous prime is 2763427564409. The next prime is 2763427564511. The reversal of 2763427564464 is 4644657243672.

It is a junction number, because it is equal to n+sod(n) for n = 2763427564398 and 2763427564407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2201062 + ... + 3220485.

Almost surely, 2^{2763427564464} is an apocalyptic number.

2763427564464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2763427564464 is an abundant number, since it is smaller than the sum of its proper divisors (5820140718672).

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

2763427564464 is a wasteful number, since it uses less digits than its factorization.

2763427564464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5421643 (or 5421637 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 60.

The spelling of 2763427564464 in words is "two trillion, seven hundred sixty-three billion, four hundred twenty-seven million, five hundred sixty-four thousand, four hundred sixty-four".