7260031617660 has 144 divisors (see below), whose sum is σ = 22254918940800. Its totient is φ = 1915550871552.

The previous prime is 7260031617659. The next prime is 7260031617667. The reversal of 7260031617660 is 667161300627.

7260031617660 is a `hidden beast` number, since 7 + 2 + 600 + 31 + 6 + 1 + 7 + 6 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7260031617667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69595821 + ... + 69700059.

It is an arithmetic number, because the mean of its divisors is an integer number (154548048200).

Almost surely, 2^{7260031617660} 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 7260031617660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11127459470400).

7260031617660 is an abundant number, since it is smaller than the sum of its proper divisors (14994887323140).

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

7260031617660 is a wasteful number, since it uses less digits than its factorization.

7260031617660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108340 (or 108335 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 7260031617660 in words is "seven trillion, two hundred sixty billion, thirty-one million, six hundred seventeen thousand, six hundred sixty".