264201637920 has 192 divisors, whose sum is σ = 908800663680. Its totient is φ = 63984844800.

The previous prime is 264201637919. The next prime is 264201637927. The reversal of 264201637920 is 29736102462.

It is a super-2 number, since 2×264201637920² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (264201637927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5366376 + ... + 5415384.

It is an arithmetic number, because the mean of its divisors is an integer number (4733336790).

Almost surely, 2^264201637920 is an apocalyptic number.

264201637920 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 264201637920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454400331840).

264201637920 is an abundant number, since it is smaller than the sum of its proper divisors (644599025760).

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

264201637920 is a wasteful number, since it uses less digits than its factorization.

264201637920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50059 (or 50051 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 264201637920 in words is "two hundred sixty-four billion, two hundred one million, six hundred thirty-seven thousand, nine hundred twenty".