8460504000 has 896 divisors, whose sum is σ = 35148072960. Its totient is φ = 1976832000.

The previous prime is 8460503999. The next prime is 8460504029. The reversal of 8460504000 is 4050648.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64583935 + ... + 64584065.

It is an arithmetic number, because the mean of its divisors is an integer number (39227760).

Almost surely, 2^8460504000 is an apocalyptic number.

8460504000 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 8460504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17574036480).

8460504000 is an abundant number, since it is smaller than the sum of its proper divisors (26687568960).

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

8460504000 is a wasteful number, since it uses less digits than its factorization.

8460504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 8460504000 is about 91980.9980376382. The cubic root of 8460504000 is about 2037.6616806222.

Adding to 8460504000 its reverse (4050648), we get a palindrome (8464554648).

The spelling of 8460504000 in words is "eight billion, four hundred sixty million, five hundred four thousand".