42692858716608 has 1344 divisors, whose sum is σ = 142375766860800. Its totient is φ = 12519046471680.

The previous prime is 42692858716603. The next prime is 42692858716619. The reversal of 42692858716608 is 80661785829624.

42692858716608 is a `hidden beast` number, since 4 + 2 + 6 + 9 + 2 + 8 + 5 + 8 + 7 + 1 + 6 + 608 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42692858716603) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55230088510 + ... + 55230089282.

Almost surely, 2^{42692858716608} is an apocalyptic number.

42692858716608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42692858716608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71187883430400).

42692858716608 is an abundant number, since it is smaller than the sum of its proper divisors (99682908144192).

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

42692858716608 is a wasteful number, since it uses less digits than its factorization.

42692858716608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 42692858716608 in words is "forty-two trillion, six hundred ninety-two billion, eight hundred fifty-eight million, seven hundred sixteen thousand, six hundred eight".