6446078496 has 864 divisors, whose sum is σ = 24594845184. Its totient is φ = 1642291200.

The previous prime is 6446078423. The next prime is 6446078557. The reversal of 6446078496 is 6948706446.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 207938001 + ... + 207938031.

It is an arithmetic number, because the mean of its divisors is an integer number (28466256).

Almost surely, 2^6446078496 is an apocalyptic number.

6446078496 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 6446078496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12297422592).

6446078496 is an abundant number, since it is smaller than the sum of its proper divisors (18148766688).

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

6446078496 is a wasteful number, since it uses less digits than its factorization.

6446078496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The square root of 6446078496 is about 80287.4740915418. The cubic root of 6446078496 is about 1861.0806623348.

The spelling of 6446078496 in words is "six billion, four hundred forty-six million, seventy-eight thousand, four hundred ninety-six".