1966540800 has 576 divisors, whose sum is σ = 7799500800. Its totient is φ = 427622400.

The previous prime is 1966540789. The next prime is 1966540811. The reversal of 1966540800 is 80456691.

It is an interprime number because it is at equal distance from previous prime (1966540789) and next prime (1966540811).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33331171 + ... + 33331229.

It is an arithmetic number, because the mean of its divisors is an integer number (13540800).

Almost surely, 2^1966540800 is an apocalyptic number.

1966540800 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 1966540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3899750400).

1966540800 is an abundant number, since it is smaller than the sum of its proper divisors (5832960000).

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

1966540800 is a wasteful number, since it uses less digits than its factorization.

1966540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 1966540800 is about 44345.6965217596. The cubic root of 1966540800 is about 1252.8555092198.

The spelling of 1966540800 in words is "one billion, nine hundred sixty-six million, five hundred forty thousand, eight hundred".