1968400896 has 480 divisors, whose sum is σ = 7053298560. Its totient is φ = 475791360.

The previous prime is 1968400849. The next prime is 1968400919. The reversal of 1968400896 is 6980048691.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 22116820 + ... + 22116908.

It is an arithmetic number, because the mean of its divisors is an integer number (14694372).

Almost surely, 2^1968400896 is an apocalyptic number.

1968400896 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 1968400896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3526649280).

1968400896 is an abundant number, since it is smaller than the sum of its proper divisors (5084897664).

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

1968400896 is a wasteful number, since it uses less digits than its factorization.

1968400896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 1968400896 is about 44366.6642424242. The cubic root of 1968400896 is about 1253.2503984154.

The spelling of 1968400896 in words is "one billion, nine hundred sixty-eight million, four hundred thousand, eight hundred ninety-six".