1264072320 has 384 divisors, whose sum is σ = 5052378240. Its totient is φ = 285253632.

The previous prime is 1264072319. The next prime is 1264072351. The reversal of 1264072320 is 232704621.

1264072320 is a `hidden beast` number, since 1 + 26 + 407 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4314094 + ... + 4314386.

It is an arithmetic number, because the mean of its divisors is an integer number (13157235).

Almost surely, 2^1264072320 is an apocalyptic number.

1264072320 is a gapful number since it is divisible by the number (10) 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 1264072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526189120).

1264072320 is an abundant number, since it is smaller than the sum of its proper divisors (3788305920).

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

1264072320 is a wasteful number, since it uses less digits than its factorization.

1264072320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1264072320 is about 35553.7947341771. The cubic root of 1264072320 is about 1081.2446555696.

Adding to 1264072320 its reverse (232704621), we get a palindrome (1496776941).

The spelling of 1264072320 in words is "one billion, two hundred sixty-four million, seventy-two thousand, three hundred twenty".