42675677657624 has 32 divisors (see below), whose sum is σ = 87292200018240. Its totient is φ = 19397803927200.

The previous prime is 42675677657623. The next prime is 42675677657629.

42675677657624 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42675677657623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4638407 + ... + 10337609.

It is an arithmetic number, because the mean of its divisors is an integer number (2727881250570).

Almost surely, 2^{42675677657624} is an apocalyptic number.

42675677657624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42675677657624 is an abundant number, since it is smaller than the sum of its proper divisors (44616522360616).

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

42675677657624 is a wasteful number, since it uses less digits than its factorization.

42675677657624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5784311 (or 5784307 counting only the distinct ones).

The product of its digits is 4978713600, while the sum is 74.

The spelling of 42675677657624 in words is "forty-two trillion, six hundred seventy-five billion, six hundred seventy-seven million, six hundred fifty-seven thousand, six hundred twenty-four".