8464468709376 has 195 divisors, whose sum is σ = 25290826582483. Its totient is φ = 2820930969600.

The previous prime is 8464468709369. The next prime is 8464468709419. The reversal of 8464468709376 is 6739078644648.

The square root of 8464468709376 is 2909376.

It is a perfect power (a square), and thus also a powerful number.

8464468709376 is a `hidden beast` number, since 8 + 4 + 6 + 4 + 468 + 7 + 0 + 93 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1675798051 + ... + 1675803101.

Almost surely, 2^{8464468709376} is an apocalyptic number.

8464468709376 is the 2909376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8464468709376

8464468709376 is an abundant number, since it is smaller than the sum of its proper divisors (16826357873107).

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

8464468709376 is an frugal number, since it uses more digits than its factorization.

8464468709376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10138 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 1170505728, while the sum is 72.

The spelling of 8464468709376 in words is "eight trillion, four hundred sixty-four billion, four hundred sixty-eight million, seven hundred nine thousand, three hundred seventy-six".