1378768896 has 288 divisors, whose sum is σ = 4361011200. Its totient is φ = 418037760.

The previous prime is 1378768889. The next prime is 1378768957. The reversal of 1378768896 is 6988678731.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10856385 + ... + 10856511.

It is an arithmetic number, because the mean of its divisors is an integer number (15142400).

Almost surely, 2^1378768896 is an apocalyptic number.

1378768896 is a gapful number since it is divisible by the number (16) 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 1378768896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180505600).

1378768896 is an abundant number, since it is smaller than the sum of its proper divisors (2982242304).

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

1378768896 is a wasteful number, since it uses less digits than its factorization.

1378768896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 182 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The square root of 1378768896 is about 37131.7774419701. Note that the first 3 decimals coincide. The cubic root of 1378768896 is about 1113.0051123098.

The spelling of 1378768896 in words is "one billion, three hundred seventy-eight million, seven hundred sixty-eight thousand, eight hundred ninety-six".