6446175456 has 192 divisors, whose sum is σ = 19811506176. Its totient is φ = 1797120000.

The previous prime is 6446175401. The next prime is 6446175487. The reversal of 6446175456 is 6545716446.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8583081 + ... + 8583831.

It is an arithmetic number, because the mean of its divisors is an integer number (103184928).

Almost surely, 2^6446175456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6446175456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9905753088).

6446175456 is an abundant number, since it is smaller than the sum of its proper divisors (13365330720).

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

6446175456 is a wasteful number, since it uses less digits than its factorization.

6446175456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1057 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 48.

The square root of 6446175456 is about 80288.0779194520. The cubic root of 6446175456 is about 1861.0899935624.

The spelling of 6446175456 in words is "six billion, four hundred forty-six million, one hundred seventy-five thousand, four hundred fifty-six".