6518777904960 has 224 divisors, whose sum is σ = 20770790584320. Its totient is φ = 1732163930112.

The previous prime is 6518777904907. The next prime is 6518777904967. The reversal of 6518777904960 is 694097778156.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6518777904967) 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, 330238771 + ... + 330258509.

It is an arithmetic number, because the mean of its divisors is an integer number (92726743680).

Almost surely, 2^{6518777904960} is an apocalyptic number.

6518777904960 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 6518777904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10385395292160).

6518777904960 is an abundant number, since it is smaller than the sum of its proper divisors (14252012679360).

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

6518777904960 is a wasteful number, since it uses less digits than its factorization.

6518777904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20965 (or 20955 counting only the distinct ones).

The product of its (nonzero) digits is 160030080, while the sum is 69.

The spelling of 6518777904960 in words is "six trillion, five hundred eighteen billion, seven hundred seventy-seven million, nine hundred four thousand, nine hundred sixty".