1399956768 has 144 divisors (see below), whose sum is σ = 4597407360. Its totient is φ = 395808768.

The previous prime is 1399956763. The next prime is 1399956793. The reversal of 1399956768 is 8676599931.

1399956768 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 9 + 567 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1399956763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191973 + ... + 199131.

It is an arithmetic number, because the mean of its divisors is an integer number (31926440).

Almost surely, 2^1399956768 is an apocalyptic number.

1399956768 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 1399956768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298703680).

1399956768 is an abundant number, since it is smaller than the sum of its proper divisors (3197450592).

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

1399956768 is a wasteful number, since it uses less digits than its factorization.

1399956768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7279 (or 7268 counting only the distinct ones).

The product of its digits is 22044960, while the sum is 63.

The square root of 1399956768 is about 37415.9961513789. The cubic root of 1399956768 is about 1118.6774269247.

The spelling of 1399956768 in words is "one billion, three hundred ninety-nine million, nine hundred fifty-six thousand, seven hundred sixty-eight".