642047566906080 has 1920 divisors, whose sum is σ = 2410612926898176. Its totient is φ = 160706554675200.

The previous prime is 642047566906069. The next prime is 642047566906157. The reversal of 642047566906080 is 80609665740246.

642047566906080 is a `hidden beast` number, since 6 + 4 + 2 + 0 + 4 + 7 + 566 + 9 + 0 + 60 + 8 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 642047566905999 and 642047566906017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 875917553394 + ... + 875917554126.

Almost surely, 2^{642047566906080} is an apocalyptic number.

642047566906080 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 642047566906080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205306463449088).

642047566906080 is an abundant number, since it is smaller than the sum of its proper divisors (1768565359992096).

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

642047566906080 is a wasteful number, since it uses less digits than its factorization.

642047566906080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 642047566906080 in words is "six hundred forty-two trillion, forty-seven billion, five hundred sixty-six million, nine hundred six thousand, eighty".