8464940144640 has 288 divisors, whose sum is σ = 33529101409440. Its totient is φ = 1934843314176.

The previous prime is 8464940144623. The next prime is 8464940144657. The reversal of 8464940144640 is 464410494648.

8464940144640 is a `hidden beast` number, since 8 + 4 + 6 + 494 + 0 + 144 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8464940144623) and next prime (8464940144657).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5915629 + ... + 7205868.

It is an arithmetic number, because the mean of its divisors is an integer number (116420491005).

Almost surely, 2^{8464940144640} is an apocalyptic number.

8464940144640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8464940144640 is an abundant number, since it is smaller than the sum of its proper divisors (25064161264800).

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

8464940144640 is a wasteful number, since it uses less digits than its factorization.

8464940144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13121537 (or 13121514 counting only the distinct ones).

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

The spelling of 8464940144640 in words is "eight trillion, four hundred sixty-four billion, nine hundred forty million, one hundred forty-four thousand, six hundred forty".