264291621120 has 216 divisors, whose sum is σ = 948290056896. Its totient is φ = 70477682688.

The previous prime is 264291621103. The next prime is 264291621131. The reversal of 264291621120 is 21126192462.

It is a happy number.

264291621120 is a `hidden beast` number, since 2 + 6 + 4 + 2 + 9 + 1 + 621 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113812 + ... + 735891.

Almost surely, 2^264291621120 is an apocalyptic number.

264291621120 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 264291621120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474145028448).

264291621120 is an abundant number, since it is smaller than the sum of its proper divisors (683998435776).

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

264291621120 is an frugal number, since it uses more digits than its factorization.

264291621120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849739 (or 849713 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 264291621120 in words is "two hundred sixty-four billion, two hundred ninety-one million, six hundred twenty-one thousand, one hundred twenty".