1662988800 has 480 divisors, whose sum is σ = 6235029504. Its totient is φ = 387072000.

The previous prime is 1662988799. The next prime is 1662988829. The reversal of 1662988800 is 88892661.

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 1662988800.

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, 13094337 + ... + 13094463.

Almost surely, 2^1662988800 is an apocalyptic number.

1662988800 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 1662988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3117514752).

1662988800 is an abundant number, since it is smaller than the sum of its proper divisors (4572040704).

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

1662988800 is a wasteful number, since it uses less digits than its factorization.

1662988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 1662988800 is about 40779.7596854126. The cubic root of 1662988800 is about 1184.7583405804.

The spelling of 1662988800 in words is "one billion, six hundred sixty-two million, nine hundred eighty-eight thousand, eight hundred".