6498077760 has 336 divisors, whose sum is σ = 23473891584. Its totient is φ = 1646751744.

The previous prime is 6498077759. The next prime is 6498077777. The reversal of 6498077760 is 677708946.

It is a junction number, because it is equal to n+sod(n) for n = 6498077697 and 6498077706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17420934 + ... + 17421306.

Almost surely, 2^6498077760 is an apocalyptic number.

6498077760 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 6498077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11736945792).

6498077760 is an abundant number, since it is smaller than the sum of its proper divisors (16975813824).

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

6498077760 is a wasteful number, since it uses less digits than its factorization.

6498077760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 6498077760 is about 80610.6553750805. The cubic root of 6498077760 is about 1866.0715914951.

The spelling of 6498077760 in words is "six billion, four hundred ninety-eight million, seventy-seven thousand, seven hundred sixty".