260646947535744 has 640 divisors, whose sum is σ = 968521889998080. Its totient is φ = 67599771402240.

The previous prime is 260646947535731. The next prime is 260646947535829. The reversal of 260646947535744 is 447535749646062.

260646947535744 is a `hidden beast` number, since 2 + 6 + 0 + 6 + 4 + 6 + 9 + 47 + 5 + 3 + 574 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 537037567 + ... + 537522689.

It is an arithmetic number, because the mean of its divisors is an integer number (1513315453122).

Almost surely, 2^{260646947535744} is an apocalyptic number.

260646947535744 is a gapful number since it is divisible by the number (24) 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 260646947535744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484260944999040).

260646947535744 is an abundant number, since it is smaller than the sum of its proper divisors (707874942462336).

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

260646947535744 is a wasteful number, since it uses less digits than its factorization.

260646947535744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485840 (or 485819 counting only the distinct ones).

The product of its (nonzero) digits is 3657830400, while the sum is 72.

The spelling of 260646947535744 in words is "two hundred sixty trillion, six hundred forty-six billion, nine hundred forty-seven million, five hundred thirty-five thousand, seven hundred forty-four".