264850020864 has 1600 divisors, whose sum is σ = 1024138950912. Its totient is φ = 66886041600.

The previous prime is 264850020863. The next prime is 264850020917. The reversal of 264850020864 is 468020058462.

264850020864 is a `hidden beast` number, since 2 + 6 + 48 + 500 + 20 + 86 + 4 = 666.

It is a super-2 number, since 2×264850020864² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (264850020863) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3730281949 + ... + 3730282019.

Almost surely, 2^264850020864 is an apocalyptic number.

264850020864 is a gapful number since it is divisible by the number (24) 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 264850020864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512069475456).

264850020864 is an abundant number, since it is smaller than the sum of its proper divisors (759288930048).

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

264850020864 is a wasteful number, since it uses less digits than its factorization.

264850020864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 264850020864 in words is "two hundred sixty-four billion, eight hundred fifty million, twenty thousand, eight hundred sixty-four".