264038767765640 has 256 divisors, whose sum is σ = 699453377280000. Its totient is φ = 87836711823360.

The previous prime is 264038767765627. The next prime is 264038767765657. The reversal of 264038767765640 is 46567767830462.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1438255055 + ... + 1438438625.

It is an arithmetic number, because the mean of its divisors is an integer number (2732239755000).

Almost surely, 2^{264038767765640} is an apocalyptic number.

264038767765640 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 264038767765640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349726688640000).

264038767765640 is an abundant number, since it is smaller than the sum of its proper divisors (435414609514360).

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

264038767765640 is a wasteful number, since it uses less digits than its factorization.

264038767765640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184780 (or 184776 counting only the distinct ones).

The product of its (nonzero) digits is 1706987520, while the sum is 71.

The spelling of 264038767765640 in words is "two hundred sixty-four trillion, thirty-eight billion, seven hundred sixty-seven million, seven hundred sixty-five thousand, six hundred forty".