264914923680 has 768 divisors, whose sum is σ = 1111109529600. Its totient is φ = 58191851520.

The previous prime is 264914923673. The next prime is 264914923709. The reversal of 264914923680 is 86329419462.

264914923680 is a `hidden beast` number, since 2 + 6 + 4 + 91 + 492 + 3 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20759862 + ... + 20772618.

It is an arithmetic number, because the mean of its divisors is an integer number (1446757200).

Almost surely, 2^264914923680 is an apocalyptic number.

264914923680 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 264914923680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555554764800).

264914923680 is an abundant number, since it is smaller than the sum of its proper divisors (846194605920).

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

264914923680 is a wasteful number, since it uses less digits than its factorization.

264914923680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12834 (or 12820 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 264914923680 in words is "two hundred sixty-four billion, nine hundred fourteen million, nine hundred twenty-three thousand, six hundred eighty".