8464700724480 has 3456 divisors, whose sum is σ = 42142209048576. Its totient is φ = 1569433190400.

The previous prime is 8464700724479. The next prime is 8464700724539. The reversal of 8464700724480 is 844270074648.

8464700724480 is a `hidden beast` number, since 8 + 4 + 64 + 70 + 0 + 72 + 448 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9651881802 + ... + 9651882678.

Almost surely, 2^{8464700724480} is an apocalyptic number.

8464700724480 is a gapful number since it is divisible by the number (80) 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 8464700724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21071104524288).

8464700724480 is an abundant number, since it is smaller than the sum of its proper divisors (33677508324096).

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

8464700724480 is a wasteful number, since it uses less digits than its factorization.

8464700724480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 54.

The spelling of 8464700724480 in words is "eight trillion, four hundred sixty-four billion, seven hundred million, seven hundred twenty-four thousand, four hundred eighty".