42688842000064 has 56 divisors (see below), whose sum is σ = 91263710281968. Its totient is φ = 19694587315200.

The previous prime is 42688841999933. The next prime is 42688842000071. The reversal of 42688842000064 is 46000024888624.

It is a happy number.

It is a super-3 number, since 3×42688842000064³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 42688841999975 and 42688842000020.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8296162 + ... + 12417889.

It is an arithmetic number, because the mean of its divisors is an integer number (1629709112178).

Almost surely, 2^{42688842000064} is an apocalyptic number.

It is an amenable number.

42688842000064 is an abundant number, since it is smaller than the sum of its proper divisors (48574868281904).

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

42688842000064 is a wasteful number, since it uses less digits than its factorization.

42688842000064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20716553 (or 20716543 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 52.

Adding to 42688842000064 its reverse (46000024888624), we get a palindrome (88688866888688).

The spelling of 42688842000064 in words is "forty-two trillion, six hundred eighty-eight billion, eight hundred forty-two million, sixty-four", and thus it is an aban number.