8024486064 has 320 divisors, whose sum is σ = 26188323840. Its totient is φ = 2064384000.

The previous prime is 8024486053. The next prime is 8024486069. The reversal of 8024486064 is 4606844208.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (8024486069) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31969939 + ... + 31970189.

It is an arithmetic number, because the mean of its divisors is an integer number (81838512).

Almost surely, 2^8024486064 is an apocalyptic number.

8024486064 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 8024486064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13094161920).

8024486064 is an abundant number, since it is smaller than the sum of its proper divisors (18163837776).

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

8024486064 is a wasteful number, since it uses less digits than its factorization.

8024486064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 8024486064 is about 89579.4957788890. The cubic root of 8024486064 is about 2002.0384270351.

The spelling of 8024486064 in words is "eight billion, twenty-four million, four hundred eighty-six thousand, sixty-four".