6442450920 has 384 divisors, whose sum is σ = 22535884800. Its totient is φ = 1593188352.

The previous prime is 6442450919. The next prime is 6442450933. The reversal of 6442450920 is 290542446.

6442450920 is a `hidden beast` number, since 644 + 2 + 4 + 5 + 0 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50727897 + ... + 50728023.

It is an arithmetic number, because the mean of its divisors is an integer number (58687200).

Almost surely, 2^6442450920 is an apocalyptic number.

6442450920 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 6442450920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11267942400).

6442450920 is an abundant number, since it is smaller than the sum of its proper divisors (16093433880).

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

6442450920 is a wasteful number, since it uses less digits than its factorization.

6442450920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6442450920 is about 80264.8797420142. The cubic root of 6442450920 is about 1860.7314847495.

The spelling of 6442450920 in words is "six billion, four hundred forty-two million, four hundred fifty thousand, nine hundred twenty".