6720235464960 has 216 divisors, whose sum is σ = 23254447802040. Its totient is φ = 1791821316096.

The previous prime is 6720235464941. The next prime is 6720235464991. The reversal of 6720235464960 is 694645320276.

6720235464960 is a `hidden beast` number, since 6 + 7 + 2 + 0 + 2 + 3 + 546 + 4 + 96 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1458606921984 + 5261628542976 = 1207728^2 + 2293824^2 .

It is a super-2 number, since 2×6720235464960² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6720235464897 and 6720235464906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95546286 + ... + 95616594.

It is an arithmetic number, because the mean of its divisors is an integer number (107659480565).

Almost surely, 2^{6720235464960} is an apocalyptic number.

6720235464960 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 6720235464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11627223901020).

6720235464960 is an abundant number, since it is smaller than the sum of its proper divisors (16534212337080).

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

6720235464960 is a wasteful number, since it uses less digits than its factorization.

6720235464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78633 (or 78616 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 6720235464960 in words is "six trillion, seven hundred twenty billion, two hundred thirty-five million, four hundred sixty-four thousand, nine hundred sixty".