8466480000 has 480 divisors, whose sum is σ = 33242952600. Its totient is φ = 2050560000.

The previous prime is 8466479981. The next prime is 8466480013. The reversal of 8466480000 is 846648.

8466480000 is a `hidden beast` number, since 8 + 4 + 6 + 648 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7919466 + ... + 7920534.

Almost surely, 2^8466480000 is an apocalyptic number.

8466480000 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 8466480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16621476300).

8466480000 is an abundant number, since it is smaller than the sum of its proper divisors (24776472600).

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

8466480000 is a wasteful number, since it uses less digits than its factorization.

8466480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8466480000 is about 92013.4772737125. The cubic root of 8466480000 is about 2038.1413289692.

8466480000 divided by its reverse (846648) gives a 4-th power (10000 = 10⁴).

It can be divided in two parts, 846 and 6480000, that added together give a palindrome (6480846).

The spelling of 8466480000 in words is "eight billion, four hundred sixty-six million, four hundred eighty thousand".