1264064398272 has 1568 divisors, whose sum is σ = 4537187450880. Its totient is φ = 345866526720.

The previous prime is 1264064398243. The next prime is 1264064398277. The reversal of 1264064398272 is 2728934604621.

It is a happy number.

1264064398272 is a `hidden beast` number, since 1 + 2 + 64 + 0 + 6 + 439 + 82 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264064398277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 16000815129 + ... + 16000815207.

Almost surely, 2^{1264064398272} is an apocalyptic number.

1264064398272 is a gapful number since it is divisible by the number (12) 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 1264064398272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268593725440).

1264064398272 is an abundant number, since it is smaller than the sum of its proper divisors (3273123052608).

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

1264064398272 is a wasteful number, since it uses less digits than its factorization.

1264064398272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 1264064398272 in words is "one trillion, two hundred sixty-four billion, sixty-four million, three hundred ninety-eight thousand, two hundred seventy-two".