264641563352004 has 192 divisors, whose sum is σ = 718412127068160. Its totient is φ = 75208360550400.

The previous prime is 264641563352003. The next prime is 264641563352143. The reversal of 264641563352004 is 400253365146462.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (264641563352003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 249173637 + ... + 250233459.

It is an arithmetic number, because the mean of its divisors is an integer number (3741729828480).

Almost surely, 2^{264641563352004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264641563352004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359206063534080).

264641563352004 is an abundant number, since it is smaller than the sum of its proper divisors (453770563716156).

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

264641563352004 is a wasteful number, since it uses less digits than its factorization.

264641563352004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062690 (or 1062688 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 51.

The spelling of 264641563352004 in words is "two hundred sixty-four trillion, six hundred forty-one billion, five hundred sixty-three million, three hundred fifty-two thousand, four".