6442455096 has 768 divisors, whose sum is σ = 25017984000. Its totient is φ = 1489259520.

The previous prime is 6442455083. The next prime is 6442455109. The reversal of 6442455096 is 6905542446.

6442455096 is a `hidden beast` number, since 6 + 4 + 4 + 2 + 4 + 550 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (6442455083) and next prime (6442455109).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 174120390 + ... + 174120426.

It is an arithmetic number, because the mean of its divisors is an integer number (32575500).

Almost surely, 2^6442455096 is an apocalyptic number.

6442455096 is a gapful number since it is divisible by the number (66) 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 6442455096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12508992000).

6442455096 is an abundant number, since it is smaller than the sum of its proper divisors (18575528904).

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

6442455096 is a wasteful number, since it uses less digits than its factorization.

6442455096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 6442455096 is about 80264.9057558781. The cubic root of 6442455096 is about 1860.7318867918.

The spelling of 6442455096 in words is "six billion, four hundred forty-two million, four hundred fifty-five thousand, ninety-six".