264916611348480 has 768 divisors, whose sum is σ = 1159010284723200. Its totient is φ = 55894488514560.

The previous prime is 264916611348461. The next prime is 264916611348509. The reversal of 264916611348480 is 84843116619462.

264916611348480 is a `hidden beast` number, since 2 + 6 + 4 + 9 + 1 + 6 + 61 + 13 + 484 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 19894975 + ... + 30424385.

It is an arithmetic number, because the mean of its divisors is an integer number (1509127974900).

Almost surely, 2^{264916611348480} is an apocalyptic number.

264916611348480 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 264916611348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579505142361600).

264916611348480 is an abundant number, since it is smaller than the sum of its proper divisors (894093673374720).

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

264916611348480 is a wasteful number, since it uses less digits than its factorization.

264916611348480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10529467 (or 10529441 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 264916611348480 in words is "two hundred sixty-four trillion, nine hundred sixteen billion, six hundred eleven million, three hundred forty-eight thousand, four hundred eighty".