3642742472463 has 16 divisors (see below), whose sum is σ = 5396691612000. Its totient is φ = 2428478737920.

The previous prime is 3642742472449. The next prime is 3642742472489.

3642742472463 is a `hidden beast` number, since 3 + 6 + 42 + 74 + 2 + 4 + 72 + 463 = 666.

3642742472463 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3642742472463 - 2¹⁷ = 3642742341391 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3642742477463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4750383 + ... + 5463663.

It is an arithmetic number, because the mean of its divisors is an integer number (337293225750).

Almost surely, 2^{3642742472463} is an apocalyptic number.

3642742472463 is a deficient number, since it is larger than the sum of its proper divisors (1753949139537).

3642742472463 is a wasteful number, since it uses less digits than its factorization.

3642742472463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902439 (or 902433 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 54.

The spelling of 3642742472463 in words is "three trillion, six hundred forty-two billion, seven hundred forty-two million, four hundred seventy-two thousand, four hundred sixty-three".