264479047680 has 576 divisors, whose sum is σ = 922726582848. Its totient is φ = 64424509440.

The previous prime is 264479047649. The next prime is 264479047681. The reversal of 264479047680 is 86740974462.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 264479047680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264479047681) 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, 1370357664 + ... + 1370357856.

It is an arithmetic number, because the mean of its divisors is an integer number (1601955873).

Almost surely, 2^264479047680 is an apocalyptic number.

264479047680 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 264479047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461363291424).

264479047680 is an abundant number, since it is smaller than the sum of its proper divisors (658247535168).

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

264479047680 is an equidigital number, since it uses as much as digits as its factorization.

264479047680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 57.

The spelling of 264479047680 in words is "two hundred sixty-four billion, four hundred seventy-nine million, forty-seven thousand, six hundred eighty".