264978166320 has 1920 divisors, whose sum is σ = 1238449305600. Its totient is φ = 51502252032.

The previous prime is 264978166283. The next prime is 264978166363. The reversal of 264978166320 is 23661879462.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 786285192 + ... + 786285528.

It is an arithmetic number, because the mean of its divisors is an integer number (645025680).

Almost surely, 2^264978166320 is an apocalyptic number.

264978166320 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 264978166320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619224652800).

264978166320 is an abundant number, since it is smaller than the sum of its proper divisors (973471139280).

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

264978166320 is a wasteful number, since it uses less digits than its factorization.

264978166320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 264978166320 in words is "two hundred sixty-four billion, nine hundred seventy-eight million, one hundred sixty-six thousand, three hundred twenty".