1968980400 has 360 divisors, whose sum is σ = 7253535744. Its totient is φ = 512697600.

The previous prime is 1968980383. The next prime is 1968980401. The reversal of 1968980400 is 40898691.

1968980400 is a `hidden beast` number, since 1 + 96 + 89 + 80 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1968980401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4568185 + ... + 4568615.

Almost surely, 2^1968980400 is an apocalyptic number.

1968980400 is a gapful number since it is divisible by the number (10) 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 1968980400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3626767872).

1968980400 is an abundant number, since it is smaller than the sum of its proper divisors (5284555344).

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

1968980400 is a wasteful number, since it uses less digits than its factorization.

1968980400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1968980400 is about 44373.1946111614. The cubic root of 1968980400 is about 1253.3733734253.

The spelling of 1968980400 in words is "one billion, nine hundred sixty-eight million, nine hundred eighty thousand, four hundred".