264306719040 has 448 divisors, whose sum is σ = 1077743149056. Its totient is φ = 53340807168.

The previous prime is 264306719023. The next prime is 264306719087. The reversal of 264306719040 is 40917603462.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 264306718983 and 264306719001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1943509 + ... + 2075051.

It is an arithmetic number, because the mean of its divisors is an integer number (2405676672).

Almost surely, 2^264306719040 is an apocalyptic number.

264306719040 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 264306719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538871574528).

264306719040 is an abundant number, since it is smaller than the sum of its proper divisors (813436430016).

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

264306719040 is a wasteful number, since it uses less digits than its factorization.

264306719040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131606 (or 131596 counting only the distinct ones).

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

The spelling of 264306719040 in words is "two hundred sixty-four billion, three hundred six million, seven hundred nineteen thousand, forty".