1263680000 has 200 divisors, whose sum is σ = 3451520160. Its totient is φ = 458240000.

The previous prime is 1263679999. The next prime is 1263680003. The reversal of 1263680000 is 863621.

It is a tau number, because it is divible by the number of its divisors (200).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1263680003) 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 19 ways as a sum of consecutive naturals, for example, 3519821 + ... + 3520179.

Almost surely, 2^1263680000 is an apocalyptic number.

1263680000 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 1263680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725760080).

1263680000 is an abundant number, since it is smaller than the sum of its proper divisors (2187840160).

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

1263680000 is an frugal number, since it uses more digits than its factorization.

1263680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 1263680000 is about 35548.2770327902. The cubic root of 1263680000 is about 1081.1327849146.

The spelling of 1263680000 in words is "one billion, two hundred sixty-three million, six hundred eighty thousand".