1264666867200 has 1620 divisors, whose sum is σ = 5269287595572. Its totient is φ = 298299801600.

The previous prime is 1264666867153. The next prime is 1264666867201. The reversal of 1264666867200 is 27686664621.

It is a tau number, because it is divible by the number of its divisors (1620).

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 (1264666867201) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 34180185582 + ... + 34180185618.

Almost surely, 2^{1264666867200} is an apocalyptic number.

1264666867200 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 1264666867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634643797786).

1264666867200 is an abundant number, since it is smaller than the sum of its proper divisors (4004620728372).

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

1264666867200 is an frugal number, since it uses more digits than its factorization.

1264666867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 58 counting only the distinct ones).

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

The spelling of 1264666867200 in words is "one trillion, two hundred sixty-four billion, six hundred sixty-six million, eight hundred sixty-seven thousand, two hundred".