8010466464 has 384 divisors, whose sum is σ = 29154263040. Its totient is φ = 1857945600.

The previous prime is 8010466447. The next prime is 8010466489. The reversal of 8010466464 is 4646640108.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2977632 + ... + 2980320.

It is an arithmetic number, because the mean of its divisors is an integer number (75922560).

Almost surely, 2^8010466464 is an apocalyptic number.

8010466464 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 8010466464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14577131520).

8010466464 is an abundant number, since it is smaller than the sum of its proper divisors (21143796576).

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

8010466464 is a wasteful number, since it uses less digits than its factorization.

8010466464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 8010466464 is about 89501.2092879197. The cubic root of 8010466464 is about 2000.8718252385.

It can be divided in two parts, 8010 and 466464, that added together give a palindrome (474474).

The spelling of 8010466464 in words is "eight billion, ten million, four hundred sixty-six thousand, four hundred sixty-four".