6518061031680 has 1440 divisors, whose sum is σ = 26524656119808. Its totient is φ = 1513993420800.

The previous prime is 6518061031667. The next prime is 6518061031759. The reversal of 6518061031680 is 861301608156.

6518061031680 is a `hidden beast` number, since 6 + 5 + 18 + 0 + 610 + 3 + 16 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×6518061031680² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3782971299 + ... + 3782973021.

Almost surely, 2^{6518061031680} is an apocalyptic number.

6518061031680 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 6518061031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13262328059904).

6518061031680 is an abundant number, since it is smaller than the sum of its proper divisors (20006595088128).

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

6518061031680 is a wasteful number, since it uses less digits than its factorization.

6518061031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 6518061031680 in words is "six trillion, five hundred eighteen billion, sixty-one million, thirty-one thousand, six hundred eighty".