1991400768 has 336 divisors, whose sum is σ = 7053681600. Its totient is φ = 548674560.

The previous prime is 1991400727. The next prime is 1991400769. The reversal of 1991400768 is 8670041991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1991400769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2455083 + ... + 2455893.

It is an arithmetic number, because the mean of its divisors is an integer number (20993100).

Almost surely, 2^1991400768 is an apocalyptic number.

1991400768 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 1991400768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3526840800).

1991400768 is an abundant number, since it is smaller than the sum of its proper divisors (5062280832).

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

1991400768 is a wasteful number, since it uses less digits than its factorization.

1991400768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1991400768 is about 44625.1136469141. The cubic root of 1991400768 is about 1258.1127301515.

The spelling of 1991400768 in words is "one billion, nine hundred ninety-one million, four hundred thousand, seven hundred sixty-eight".