260811967464 has 288 divisors, whose sum is σ = 761769815040. Its totient is φ = 80579577600.

The previous prime is 260811967433. The next prime is 260811967477. The reversal of 260811967464 is 464769118062.

260811967464 is a `hidden beast` number, since 2 + 6 + 0 + 8 + 119 + 67 + 464 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 260811967464.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 429673449 + ... + 429674055.

It is an arithmetic number, because the mean of its divisors is an integer number (2645034080).

Almost surely, 2^260811967464 is an apocalyptic number.

260811967464 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 260811967464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380884907520).

260811967464 is an abundant number, since it is smaller than the sum of its proper divisors (500957847576).

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

260811967464 is a wasteful number, since it uses less digits than its factorization.

260811967464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 260811967464 in words is "two hundred sixty billion, eight hundred eleven million, nine hundred sixty-seven thousand, four hundred sixty-four".