264326768369664 has 896 divisors, whose sum is σ = 949413356236800. Its totient is φ = 63169442611200.

The previous prime is 264326768369647. The next prime is 264326768369681. The reversal of 264326768369664 is 466963867623462.

It is an interprime number because it is at equal distance from previous prime (264326768369647) and next prime (264326768369681).

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a self number, because there is not a number n which added to its sum of digits gives 264326768369664.

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, 7650761862 + ... + 7650796410.

It is an arithmetic number, because the mean of its divisors is an integer number (1059613120800).

Almost surely, 2^{264326768369664} is an apocalyptic number.

264326768369664 is a gapful number since it is divisible by the number (24) 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 264326768369664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474706678118400).

264326768369664 is an abundant number, since it is smaller than the sum of its proper divisors (685086587867136).

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

264326768369664 is a wasteful number, since it uses less digits than its factorization.

264326768369664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34920 (or 34896 counting only the distinct ones).

The product of its digits is 13544423424, while the sum is 78.

The spelling of 264326768369664 in words is "two hundred sixty-four trillion, three hundred twenty-six billion, seven hundred sixty-eight million, three hundred sixty-nine thousand, six hundred sixty-four".