8385012480 has 576 divisors, whose sum is σ = 30822865920. Its totient is φ = 1926955008.

The previous prime is 8385012479. The next prime is 8385012577. The reversal of 8385012480 is 842105838.

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, 76926666 + ... + 76926774.

It is an arithmetic number, because the mean of its divisors is an integer number (53511920).

Almost surely, 2^8385012480 is an apocalyptic number.

8385012480 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 8385012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15411432960).

8385012480 is an abundant number, since it is smaller than the sum of its proper divisors (22437853440).

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

8385012480 is a wasteful number, since it uses less digits than its factorization.

8385012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 8385012480 is about 91569.7137704383. The cubic root of 8385012480 is about 2031.5830049321.

The spelling of 8385012480 in words is "eight billion, three hundred eighty-five million, twelve thousand, four hundred eighty".