664558106742 has 48 divisors (see below), whose sum is σ = 1517947471872. Its totient is φ = 209812434480.

The previous prime is 664558106717. The next prime is 664558106743. The reversal of 664558106742 is 247601855466.

664558106742 is a `hidden beast` number, since 6 + 6 + 4 + 558 + 10 + 6 + 74 + 2 = 666.

It is a super-2 number, since 2×664558106742² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664558106743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12643608 + ... + 12696059.

It is an arithmetic number, because the mean of its divisors is an integer number (31623905664).

Almost surely, 2^664558106742 is an apocalyptic number.

664558106742 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

664558106742 is an abundant number, since it is smaller than the sum of its proper divisors (853389365130).

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

664558106742 is a wasteful number, since it uses less digits than its factorization.

664558106742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25339753 (or 25339750 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 664558106742 in words is "six hundred sixty-four billion, five hundred fifty-eight million, one hundred six thousand, seven hundred forty-two".