264015990720 has 336 divisors, whose sum is σ = 943520348160. Its totient is φ = 67679797248.

The previous prime is 264015990701. The next prime is 264015990727. The reversal of 264015990720 is 27099510462.

264015990720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×264015990720² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264015990727) by changing a digit.

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, 19453377 + ... + 19466943.

Almost surely, 2^264015990720 is an apocalyptic number.

264015990720 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 264015990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471760174080).

264015990720 is an abundant number, since it is smaller than the sum of its proper divisors (679504357440).

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

264015990720 is a wasteful number, since it uses less digits than its factorization.

264015990720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13852 (or 13839 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 264015990720 in words is "two hundred sixty-four billion, fifteen million, nine hundred ninety thousand, seven hundred twenty".