6259438080 has 640 divisors, whose sum is σ = 26940418560. Its totient is φ = 1344798720.

The previous prime is 6259438049. The next prime is 6259438091. The reversal of 6259438080 is 808349526.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 8224900 + ... + 8225660.

It is an arithmetic number, because the mean of its divisors is an integer number (42094404).

Almost surely, 2^6259438080 is an apocalyptic number.

6259438080 is a gapful number since it is divisible by the number (60) 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 6259438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13470209280).

6259438080 is an abundant number, since it is smaller than the sum of its proper divisors (20680980480).

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

6259438080 is a wasteful number, since it uses less digits than its factorization.

6259438080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 6259438080 is about 79116.6106453000. The cubic root of 6259438080 is about 1842.9424878964.

The spelling of 6259438080 in words is "six billion, two hundred fifty-nine million, four hundred thirty-eight thousand, eighty".