646464181144320 has 1152 divisors, whose sum is σ = 2952376382914560. Its totient is φ = 129996969984000.

The previous prime is 646464181144291. The next prime is 646464181144333. The reversal of 646464181144320 is 23441181464646.

646464181144320 is a `hidden beast` number, since 6 + 4 + 6 + 464 + 1 + 8 + 1 + 144 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 78576505 + ... + 86412935.

It is an arithmetic number, because the mean of its divisors is an integer number (2562826721280).

Almost surely, 2^{646464181144320} is an apocalyptic number.

646464181144320 is a gapful number since it is divisible by the number (60) 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 646464181144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476188191457280).

646464181144320 is an abundant number, since it is smaller than the sum of its proper divisors (2305912201770240).

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

646464181144320 is a wasteful number, since it uses less digits than its factorization.

646464181144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7836510 (or 7836490 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 646464181144320 in words is "six hundred forty-six trillion, four hundred sixty-four billion, one hundred eighty-one million, one hundred forty-four thousand, three hundred twenty".