6488916480 has 640 divisors, whose sum is σ = 24964473600. Its totient is φ = 1612431360.

The previous prime is 6488916479. The next prime is 6488916521. The reversal of 6488916480 is 846198846.

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 (54).

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, 106375650 + ... + 106375710.

It is an arithmetic number, because the mean of its divisors is an integer number (39006990).

Almost surely, 2^6488916480 is an apocalyptic number.

6488916480 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 6488916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12482236800).

6488916480 is an abundant number, since it is smaller than the sum of its proper divisors (18475557120).

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

6488916480 is an frugal number, since it uses more digits than its factorization.

6488916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 6488916480 is about 80553.8110830270. The cubic root of 6488916480 is about 1865.1942220469.

The spelling of 6488916480 in words is "six billion, four hundred eighty-eight million, nine hundred sixteen thousand, four hundred eighty".