642446290080 has 960 divisors, whose sum is σ = 2778879882240. Its totient is φ = 136431599616.

The previous prime is 642446290021. The next prime is 642446290147. The reversal of 642446290080 is 80092644246.

642446290080 is a `hidden beast` number, since 6 + 4 + 24 + 462 + 90 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 121834324 + ... + 121839596.

It is an arithmetic number, because the mean of its divisors is an integer number (2894666544).

Almost surely, 2^642446290080 is an apocalyptic number.

642446290080 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 642446290080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389439941120).

642446290080 is an abundant number, since it is smaller than the sum of its proper divisors (2136433592160).

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

642446290080 is a wasteful number, since it uses less digits than its factorization.

642446290080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5403 (or 5386 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 642446290080 in words is "six hundred forty-two billion, four hundred forty-six million, two hundred ninety thousand, eighty".