264005619840 has 384 divisors, whose sum is σ = 952386664320. Its totient is φ = 69881978880.

The previous prime is 264005619793. The next prime is 264005619859. The reversal of 264005619840 is 48916500462.

264005619840 is a `hidden beast` number, since 2 + 6 + 4 + 0 + 0 + 561 + 9 + 84 + 0 = 666.

264005619840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

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 47 ways as a sum of consecutive naturals, for example, 21300045 + ... + 21312435.

It is an arithmetic number, because the mean of its divisors is an integer number (2480173605).

Almost surely, 2^264005619840 is an apocalyptic number.

264005619840 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 264005619840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476193332160).

264005619840 is an abundant number, since it is smaller than the sum of its proper divisors (688381044480).

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

264005619840 is a wasteful number, since it uses less digits than its factorization.

264005619840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12562 (or 12538 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 264005619840 in words is "two hundred sixty-four billion, five million, six hundred nineteen thousand, eight hundred forty".