6781002720 has 192 divisors, whose sum is σ = 23260608000. Its totient is φ = 1653958656.

The previous prime is 6781002707. The next prime is 6781002727. The reversal of 6781002720 is 272001876.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6781002727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251661 + ... + 277299.

It is an arithmetic number, because the mean of its divisors is an integer number (121149000).

Almost surely, 2^6781002720 is an apocalyptic number.

6781002720 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 6781002720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11630304000).

6781002720 is an abundant number, since it is smaller than the sum of its proper divisors (16479605280).

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

6781002720 is a wasteful number, since it uses less digits than its factorization.

6781002720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25705 (or 25697 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 6781002720 is about 82346.8440196708. The cubic root of 6781002720 is about 1892.7705622023.

The spelling of 6781002720 in words is "six billion, seven hundred eighty-one million, two thousand, seven hundred twenty".