264219540480 has 1056 divisors, whose sum is σ = 1087006128000. Its totient is φ = 59305623552.

The previous prime is 264219540451. The next prime is 264219540491. The reversal of 264219540480 is 84045912462.

It is a happy number.

264219540480 is a `hidden beast` number, since 2 + 6 + 4 + 21 + 9 + 540 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1153797006 + ... + 1153797234.

Almost surely, 2^264219540480 is an apocalyptic number.

264219540480 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 264219540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543503064000).

264219540480 is an abundant number, since it is smaller than the sum of its proper divisors (822786587520).

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

264219540480 is a wasteful number, since it uses less digits than its factorization.

264219540480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 264219540480 in words is "two hundred sixty-four billion, two hundred nineteen million, five hundred forty thousand, four hundred eighty".