7261267913680 has 160 divisors (see below), whose sum is σ = 19008924065280. Its totient is φ = 2556964354560.

The previous prime is 7261267913659. The next prime is 7261267913723. The reversal of 7261267913680 is 863197621627.

It is a super-2 number, since 2×7261267913680² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2434947 + ... + 4522333.

It is an arithmetic number, because the mean of its divisors is an integer number (118805775408).

Almost surely, 2^{7261267913680} 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 7261267913680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9504462032640).

7261267913680 is an abundant number, since it is smaller than the sum of its proper divisors (11747656151600).

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

7261267913680 is a wasteful number, since it uses less digits than its factorization.

7261267913680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087537 (or 2087531 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 58.

The spelling of 7261267913680 in words is "seven trillion, two hundred sixty-one billion, two hundred sixty-seven million, nine hundred thirteen thousand, six hundred eighty".