6501626880 has 352 divisors, whose sum is σ = 25170829056. Its totient is φ = 1398276096.

The previous prime is 6501626861. The next prime is 6501626893. The reversal of 6501626880 is 886261056.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1826062 + ... + 1829618.

Almost surely, 2^6501626880 is an apocalyptic number.

6501626880 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 6501626880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12585414528).

6501626880 is an abundant number, since it is smaller than the sum of its proper divisors (18669202176).

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

6501626880 is a wasteful number, since it uses less digits than its factorization.

6501626880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3591 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 6501626880 is about 80632.6663331928. Note that the first 3 decimals coincide. The cubic root of 6501626880 is about 1866.4112666447.

The spelling of 6501626880 in words is "six billion, five hundred one million, six hundred twenty-six thousand, eight hundred eighty".