260164766400 has 672 divisors, whose sum is σ = 1070329827840. Its totient is φ = 53747712000.

The previous prime is 260164766383. The next prime is 260164766441. The reversal of 260164766400 is 4667461062.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66895656 + ... + 66899544.

It is an arithmetic number, because the mean of its divisors is an integer number (1592752720).

Almost surely, 2^260164766400 is an apocalyptic number.

260164766400 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 260164766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535164913920).

260164766400 is an abundant number, since it is smaller than the sum of its proper divisors (810165061440).

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

260164766400 is a wasteful number, since it uses less digits than its factorization.

260164766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4113 (or 4098 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 260164766400 in words is "two hundred sixty billion, one hundred sixty-four million, seven hundred sixty-six thousand, four hundred".