264668376000 has 448 divisors, whose sum is σ = 1057546174464. Its totient is φ = 56936448000.

The previous prime is 264668375999. The next prime is 264668376029. The reversal of 264668376000 is 673866462.

264668376000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2809665 + ... + 2902335.

Almost surely, 2^264668376000 is an apocalyptic number.

264668376000 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 264668376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528773087232).

264668376000 is an abundant number, since it is smaller than the sum of its proper divisors (792877798464).

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

264668376000 is a wasteful number, since it uses less digits than its factorization.

264668376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92725 (or 92705 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 264668376000 in words is "two hundred sixty-four billion, six hundred sixty-eight million, three hundred seventy-six thousand".