1994764800 has 480 divisors, whose sum is σ = 7757253504. Its totient is φ = 442368000.

The previous prime is 1994764789. The next prime is 1994764859. The reversal of 1994764800 is 84674991.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1994764800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11020710 + ... + 11020890.

Almost surely, 2^1994764800 is an apocalyptic number.

1994764800 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 1994764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878626752).

1994764800 is an abundant number, since it is smaller than the sum of its proper divisors (5762488704).

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

1994764800 is a wasteful number, since it uses less digits than its factorization.

1994764800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 1994764800 is about 44662.7898815110. The cubic root of 1994764800 is about 1258.8207661881.

The spelling of 1994764800 in words is "one billion, nine hundred ninety-four million, seven hundred sixty-four thousand, eight hundred".