6446361120 has 96 divisors (see below), whose sum is σ = 20801370240. Its totient is φ = 1677096960.

The previous prime is 6446361113. The next prime is 6446361137. The reversal of 6446361120 is 211636446.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144100 + ... + 183459.

It is an arithmetic number, because the mean of its divisors is an integer number (216680940).

Almost surely, 2^6446361120 is an apocalyptic number.

6446361120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6446361120 is an abundant number, since it is smaller than the sum of its proper divisors (14355009120).

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

6446361120 is a wasteful number, since it uses less digits than its factorization.

6446361120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327618 (or 327610 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 6446361120 is about 80289.2341475493. The cubic root of 6446361120 is about 1861.1078612162.

Adding to 6446361120 its reverse (211636446), we get a palindrome (6657997566).

The spelling of 6446361120 in words is "six billion, four hundred forty-six million, three hundred sixty-one thousand, one hundred twenty".