264086240320 has 224 divisors, whose sum is σ = 751156922880. Its totient is φ = 86518333440.

The previous prime is 264086240317. The next prime is 264086240321. The reversal of 264086240320 is 23042680462.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 264086240320.

It is not an unprimeable number, because it can be changed into a prime (264086240321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6280165 + ... + 6322075.

It is an arithmetic number, because the mean of its divisors is an integer number (3353379120).

Almost surely, 2^264086240320 is an apocalyptic number.

264086240320 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 264086240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375578461440).

264086240320 is an abundant number, since it is smaller than the sum of its proper divisors (487070682560).

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

264086240320 is a wasteful number, since it uses less digits than its factorization.

264086240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42061 (or 42051 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 264086240320 in words is "two hundred sixty-four billion, eighty-six million, two hundred forty thousand, three hundred twenty".