42684488448624 has 90 divisors (see below), whose sum is σ = 131304287034648. Its totient is φ = 12934693464000.

The previous prime is 42684488448599. The next prime is 42684488448661.

42684488448624 is a `hidden beast` number, since 4 + 2 + 6 + 8 + 4 + 48 + 84 + 486 + 24 = 666.

42684488448624 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×42684488448624³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1224858852 + ... + 1224893699.

Almost surely, 2^{42684488448624} is an apocalyptic number.

42684488448624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42684488448624 is an abundant number, since it is smaller than the sum of its proper divisors (88619798586024).

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

42684488448624 is a wasteful number, since it uses less digits than its factorization.

42684488448624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449752587 (or 2449752567 counting only the distinct ones).

The product of its digits is 2415919104, while the sum is 72.

The spelling of 42684488448624 in words is "forty-two trillion, six hundred eighty-four billion, four hundred eighty-eight million, four hundred forty-eight thousand, six hundred twenty-four".