1264800000 has 432 divisors, whose sum is σ = 4598705664. Its totient is φ = 307200000.

The previous prime is 1264799993. The next prime is 1264800001. The reversal of 1264800000 is 84621.

It is a self number, because there is not a number n which added to its sum of digits gives 1264800000.

It is not an unprimeable number, because it can be changed into a prime (1264800001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40799985 + ... + 40800015.

It is an arithmetic number, because the mean of its divisors is an integer number (10645152).

Almost surely, 2^1264800000 is an apocalyptic number.

1264800000 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 1264800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299352832).

1264800000 is an abundant number, since it is smaller than the sum of its proper divisors (3333905664).

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

1264800000 is an frugal number, since it uses more digits than its factorization.

1264800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1264800000 is about 35564.0267686324. The cubic root of 1264800000 is about 1081.4520933798.

Adding to 1264800000 its reverse (84621), we get a palindrome (1264884621).

It can be divided in two parts, 12 and 64800000, that multiplied together give a 5-th power (777600000 = 60⁵).

The spelling of 1264800000 in words is "one billion, two hundred sixty-four million, eight hundred thousand".