6516206239680 has 448 divisors, whose sum is σ = 23871522447360. Its totient is φ = 1671520665600.

The previous prime is 6516206239663. The next prime is 6516206239703. The reversal of 6516206239680 is 869326026156.

6516206239680 is a `hidden beast` number, since 6 + 5 + 1 + 6 + 2 + 0 + 623 + 9 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44656440 + ... + 44802120.

It is an arithmetic number, because the mean of its divisors is an integer number (53284648320).

Almost surely, 2^{6516206239680} is an apocalyptic number.

6516206239680 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 6516206239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11935761223680).

6516206239680 is an abundant number, since it is smaller than the sum of its proper divisors (17355316207680).

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

6516206239680 is a wasteful number, since it uses less digits than its factorization.

6516206239680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145905 (or 145889 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 6516206239680 in words is "six trillion, five hundred sixteen billion, two hundred six million, two hundred thirty-nine thousand, six hundred eighty".