260647427040 has 768 divisors, whose sum is σ = 1120572278784. Its totient is φ = 49169203200.

The previous prime is 260647427003. The next prime is 260647427063. The reversal of 260647427040 is 40724746062.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 260647426983 and 260647427001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29304834 + ... + 29313726.

It is an arithmetic number, because the mean of its divisors is an integer number (1459078488).

Almost surely, 2^260647427040 is an apocalyptic number.

260647427040 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 260647427040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560286139392).

260647427040 is an abundant number, since it is smaller than the sum of its proper divisors (859924851744).

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

260647427040 is a wasteful number, since it uses less digits than its factorization.

260647427040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9003 (or 8995 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The spelling of 260647427040 in words is "two hundred sixty billion, six hundred forty-seven million, four hundred twenty-seven thousand, forty".