6501742100 has 72 divisors (see below), whose sum is σ = 16137092160. Its totient is φ = 2227403520.

The previous prime is 6501742067. The next prime is 6501742141. The reversal of 6501742100 is 12471056.

It is a self number, because there is not a number n which added to its sum of digits gives 6501742100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1130432 + ... + 1136168.

It is an arithmetic number, because the mean of its divisors is an integer number (224126280).

Almost surely, 2^6501742100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6501742100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8068546080).

6501742100 is an abundant number, since it is smaller than the sum of its proper divisors (9635350060).

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

6501742100 is a wasteful number, since it uses less digits than its factorization.

6501742100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7377 (or 7370 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 6501742100 is about 80633.3808047263. The cubic root of 6501742100 is about 1866.4222919178.

The spelling of 6501742100 in words is "six billion, five hundred one million, seven hundred forty-two thousand, one hundred".