1264876800 has 432 divisors, whose sum is σ = 4680825408. Its totient is φ = 298188800.

The previous prime is 1264876793. The next prime is 1264876801. The reversal of 1264876800 is 86784621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264876801) 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 47 ways as a sum of consecutive naturals, for example, 11193544 + ... + 11193656.

It is an arithmetic number, because the mean of its divisors is an integer number (10835244).

Almost surely, 2^1264876800 is an apocalyptic number.

1264876800 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 1264876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340412704).

1264876800 is an abundant number, since it is smaller than the sum of its proper divisors (3415948608).

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

1264876800 is a wasteful number, since it uses less digits than its factorization.

1264876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 1264876800 is about 35565.1064949903. The cubic root of 1264876800 is about 1081.4739819102.

The spelling of 1264876800 in words is "one billion, two hundred sixty-four million, eight hundred seventy-six thousand, eight hundred".