1956664800 has 216 divisors, whose sum is σ = 7138371240. Its totient is φ = 503731200.

The previous prime is 1956664769. The next prime is 1956664813. The reversal of 1956664800 is 84666591.

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

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 35 ways as a sum of consecutive naturals, for example, 204115 + ... + 213485.

It is an arithmetic number, because the mean of its divisors is an integer number (33048015).

Almost surely, 2^1956664800 is an apocalyptic number.

1956664800 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 1956664800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3569185620).

1956664800 is an abundant number, since it is smaller than the sum of its proper divisors (5181706440).

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

1956664800 is a wasteful number, since it uses less digits than its factorization.

1956664800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9426 (or 9410 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1956664800 is about 44234.2039602839. The cubic root of 1956664800 is about 1250.7547015820.

The spelling of 1956664800 in words is "one billion, nine hundred fifty-six million, six hundred sixty-four thousand, eight hundred".