260726791680 has 1080 divisors, whose sum is σ = 1012613628312. Its totient is φ = 64336011264.

The previous prime is 260726791651. The next prime is 260726791727. The reversal of 260726791680 is 86197627062.

260726791680 is a `hidden beast` number, since 2 + 607 + 26 + 7 + 9 + 1 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×260726791680² (a number of 24 digits) contains 22 as substring.

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 107 ways as a sum of consecutive naturals, for example, 6063413739 + ... + 6063413781.

Almost surely, 2^260726791680 is an apocalyptic number.

260726791680 is a gapful number since it is divisible by the number (20) 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 260726791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506306814156).

260726791680 is an abundant number, since it is smaller than the sum of its proper divisors (751886836632).

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

260726791680 is an frugal number, since it uses more digits than its factorization.

260726791680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 260726791680 in words is "two hundred sixty billion, seven hundred twenty-six million, seven hundred ninety-one thousand, six hundred eighty".