8472464741664 has 1152 divisors, whose sum is σ = 32054665144320. Its totient is φ = 2137317580800.

The previous prime is 8472464741647. The next prime is 8472464741707. The reversal of 8472464741664 is 4661474642748.

8472464741664 is a `hidden beast` number, since 8 + 4 + 7 + 2 + 464 + 7 + 4 + 166 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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 191 ways as a sum of consecutive naturals, for example, 6603635167 + ... + 6603636449.

It is an arithmetic number, because the mean of its divisors is an integer number (27825230160).

Almost surely, 2^{8472464741664} is an apocalyptic number.

8472464741664 is a gapful number since it is divisible by the number (84) 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 8472464741664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16027332572160).

8472464741664 is an abundant number, since it is smaller than the sum of its proper divisors (23582200402656).

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

8472464741664 is a wasteful number, since it uses less digits than its factorization.

8472464741664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1616 counting only the distinct ones).

The product of its digits is 173408256, while the sum is 63.

The spelling of 8472464741664 in words is "eight trillion, four hundred seventy-two billion, four hundred sixty-four million, seven hundred forty-one thousand, six hundred sixty-four".