6488945109504 has 1280 divisors, whose sum is σ = 24524030361600. Its totient is φ = 1663790284800.

The previous prime is 6488945109499. The next prime is 6488945109511. The reversal of 6488945109504 is 4059015498846.

6488945109504 is a `hidden beast` number, since 6 + 4 + 8 + 89 + 45 + 1 + 0 + 9 + 504 = 666.

It is a super-2 number, since 2×6488945109504² (a number of 26 digits) contains 22 as substring.

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, 1164351262 + ... + 1164356834.

It is an arithmetic number, because the mean of its divisors is an integer number (19159398720).

Almost surely, 2^{6488945109504} is an apocalyptic number.

6488945109504 is a gapful number since it is divisible by the number (64) 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 6488945109504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12262015180800).

6488945109504 is an abundant number, since it is smaller than the sum of its proper divisors (18035085252096).

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

6488945109504 is a wasteful number, since it uses less digits than its factorization.

6488945109504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5674 (or 5652 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 6488945109504 in words is "six trillion, four hundred eighty-eight billion, nine hundred forty-five million, one hundred nine thousand, five hundred four".