260400646640 has 40 divisors (see below), whose sum is σ = 606810700320. Its totient is φ = 103922977536.

The previous prime is 260400646607. The next prime is 260400646657. The reversal of 260400646640 is 46646004062.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 260400646594 and 260400646603.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3672179 + ... + 3742418.

It is an arithmetic number, because the mean of its divisors is an integer number (15170267508).

Almost surely, 2^260400646640 is an apocalyptic number.

260400646640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

260400646640 is an abundant number, since it is smaller than the sum of its proper divisors (346410053680).

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

260400646640 is a wasteful number, since it uses less digits than its factorization.

260400646640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7415049 (or 7415043 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 260400646640 in words is "two hundred sixty billion, four hundred million, six hundred forty-six thousand, six hundred forty".