642742814417 has 16 divisors (see below), whose sum is σ = 702412259712. Its totient is φ = 583280248320.

The previous prime is 642742814387. The next prime is 642742814419. The reversal of 642742814417 is 714418247246.

It is not a de Polignac number, because 642742814417 - 2⁶ = 642742814353 is a prime.

It is a super-2 number, since 2×642742814417² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (642742814419) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 32244908 + ... + 32264834.

It is an arithmetic number, because the mean of its divisors is an integer number (43900766232).

Almost surely, 2^642742814417 is an apocalyptic number.

It is an amenable number.

642742814417 is a deficient number, since it is larger than the sum of its proper divisors (59669445295).

642742814417 is a wasteful number, since it uses less digits than its factorization.

642742814417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24968.

The product of its digits is 2408448, while the sum is 50.

The spelling of 642742814417 in words is "six hundred forty-two billion, seven hundred forty-two million, eight hundred fourteen thousand, four hundred seventeen".