6511416804 has 72 divisors (see below), whose sum is σ = 16877952000. Its totient is φ = 2115388800.

The previous prime is 6511416781. The next prime is 6511416809. The reversal of 6511416804 is 4086141156.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6511416809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2169697 + ... + 2172695.

It is an arithmetic number, because the mean of its divisors is an integer number (234416000).

Almost surely, 2^6511416804 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 6511416804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8438976000).

6511416804 is an abundant number, since it is smaller than the sum of its proper divisors (10366535196).

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

6511416804 is a wasteful number, since it uses less digits than its factorization.

6511416804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4521 (or 4516 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 6511416804 is about 80693.3504323621. The cubic root of 6511416804 is about 1867.3475892671.

It can be divided in two parts, 65114 and 16804, that added together give a palindrome (81918).

The spelling of 6511416804 in words is "six billion, five hundred eleven million, four hundred sixteen thousand, eight hundred four".