2578784268447 has 48 divisors (see below), whose sum is σ = 4033272096000. Its totient is φ = 1628223857424.

The previous prime is 2578784268443. The next prime is 2578784268457. The reversal of 2578784268447 is 7448624878752.

2578784268447 is a `hidden beast` number, since 2 + 5 + 7 + 87 + 8 + 42 + 68 + 447 = 666.

It is not a de Polignac number, because 2578784268447 - 2² = 2578784268443 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2578784268443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34457254 + ... + 34532012.

It is an arithmetic number, because the mean of its divisors is an integer number (84026502000).

Almost surely, 2^{2578784268447} is an apocalyptic number.

2578784268447 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2578784268447 is a deficient number, since it is larger than the sum of its proper divisors (1454487827553).

2578784268447 is a wasteful number, since it uses less digits than its factorization.

2578784268447 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78345 (or 78320 counting only the distinct ones).

The product of its digits is 1348730880, while the sum is 72.

The spelling of 2578784268447 in words is "two trillion, five hundred seventy-eight billion, seven hundred eighty-four million, two hundred sixty-eight thousand, four hundred forty-seven".