260627604480 has 704 divisors, whose sum is σ = 972750120960. Its totient is φ = 66089779200.

The previous prime is 260627604451. The next prime is 260627604499. The reversal of 260627604480 is 84406726062.

260627604480 is a `hidden beast` number, since 260 + 6 + 276 + 0 + 44 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 261411342 + ... + 261412338.

Almost surely, 2^260627604480 is an apocalyptic number.

260627604480 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 260627604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486375060480).

260627604480 is an abundant number, since it is smaller than the sum of its proper divisors (712122516480).

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

260627604480 is a wasteful number, since it uses less digits than its factorization.

260627604480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 260627604480 in words is "two hundred sixty billion, six hundred twenty-seven million, six hundred four thousand, four hundred eighty".