6442191360 has 640 divisors, whose sum is σ = 25750137600. Its totient is φ = 1512898560.

The previous prime is 6442191337. The next prime is 6442191367. The reversal of 6442191360 is 631912446.

6442191360 is a `hidden beast` number, since 644 + 2 + 1 + 9 + 1 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (6442191367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28131726 + ... + 28131954.

It is an arithmetic number, because the mean of its divisors is an integer number (40234590).

Almost surely, 2^6442191360 is an apocalyptic number.

6442191360 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 6442191360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12875068800).

6442191360 is an abundant number, since it is smaller than the sum of its proper divisors (19307946240).

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

6442191360 is a wasteful number, since it uses less digits than its factorization.

6442191360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6442191360 is about 80263.2628292670. The cubic root of 6442191360 is about 1860.7064954012.

The spelling of 6442191360 in words is "six billion, four hundred forty-two million, one hundred ninety-one thousand, three hundred sixty".