1263451680 has 72 divisors (see below), whose sum is σ = 4311533772. Its totient is φ = 336920064.

The previous prime is 1263451669. The next prime is 1263451681. The reversal of 1263451680 is 861543621.

It is a happy number.

1263451680 is a `hidden beast` number, since 1 + 2 + 63 + 4 + 516 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1188594576 + 74857104 = 34476^2 + 8652^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1263451681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 437259 + ... + 440138.

Almost surely, 2^1263451680 is an apocalyptic number.

1263451680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1263451680 is an abundant number, since it is smaller than the sum of its proper divisors (3048082092).

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

1263451680 is a wasteful number, since it uses less digits than its factorization.

1263451680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877418 (or 877407 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1263451680 is about 35545.0654803167. The cubic root of 1263451680 is about 1081.0676684543.

The spelling of 1263451680 in words is "one billion, two hundred sixty-three million, four hundred fifty-one thousand, six hundred eighty".