6446401790976 has 396 divisors, whose sum is σ = 22454839946448. Its totient is φ = 1841825599488.

The previous prime is 6446401790971. The next prime is 6446401791013. The reversal of 6446401790976 is 6790971046446.

6446401790976 is a `hidden beast` number, since 6 + 4 + 464 + 0 + 17 + 90 + 9 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6446401790971) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11928415 + ... + 12457121.

Almost surely, 2^{6446401790976} 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 6446401790976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11227419973224).

6446401790976 is an abundant number, since it is smaller than the sum of its proper divisors (16008438155472).

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

6446401790976 is an equidigital number, since it uses as much as digits as its factorization.

6446401790976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528756 (or 528719 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 6446401790976 in words is "six trillion, four hundred forty-six billion, four hundred one million, seven hundred ninety thousand, nine hundred seventy-six".