642396646126080 has 800 divisors, whose sum is σ = 2405149400586240. Its totient is φ = 163681172029440.

The previous prime is 642396646126019. The next prime is 642396646126127. The reversal of 642396646126080 is 80621646693246.

642396646126080 is a `hidden beast` number, since 6 + 4 + 2 + 3 + 9 + 6 + 6 + 4 + 6 + 12 + 608 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 642396646125999 and 642396646126017.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 507192142 + ... + 508457138.

Almost surely, 2^{642396646126080} is an apocalyptic number.

642396646126080 is a gapful number since it is divisible by the number (60) 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 642396646126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202574700293120).

642396646126080 is an abundant number, since it is smaller than the sum of its proper divisors (1762752754460160).

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

642396646126080 is a wasteful number, since it uses less digits than its factorization.

642396646126080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265142 (or 1265117 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 63.

The spelling of 642396646126080 in words is "six hundred forty-two trillion, three hundred ninety-six billion, six hundred forty-six million, one hundred twenty-six thousand, eighty".