1294368768 has 512 divisors, whose sum is σ = 5033088000. Its totient is φ = 318504960.

The previous prime is 1294368731. The next prime is 1294368773. The reversal of 1294368768 is 8678634921.

1294368768 is a `hidden beast` number, since 129 + 436 + 87 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3483648) is a multiple of the sum of its prime divisors (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68124663 + ... + 68124681.

It is an arithmetic number, because the mean of its divisors is an integer number (9830250).

Almost surely, 2^1294368768 is an apocalyptic number.

1294368768 is a gapful number since it is divisible by the number (18) 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 1294368768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516544000).

1294368768 is an abundant number, since it is smaller than the sum of its proper divisors (3738719232).

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

1294368768 is an equidigital number, since it uses as much as digits as its factorization.

1294368768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 42 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 1294368768 is about 35977.3368664219. The cubic root of 1294368768 is about 1089.8147338238.

The spelling of 1294368768 in words is "one billion, two hundred ninety-four million, three hundred sixty-eight thousand, seven hundred sixty-eight".