1664374800 has 240 divisors, whose sum is σ = 6159195072. Its totient is φ = 379699200.

The previous prime is 1664374799. The next prime is 1664374807. The reversal of 1664374800 is 84734661.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1664374807) by changing a digit.

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, 220692 + ... + 228108.

Almost surely, 2^1664374800 is an apocalyptic number.

1664374800 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 1664374800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079597536).

1664374800 is an abundant number, since it is smaller than the sum of its proper divisors (4494820272).

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

1664374800 is a wasteful number, since it uses less digits than its factorization.

1664374800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7466 (or 7455 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 1664374800 is about 40796.7498705473. The cubic root of 1664374800 is about 1185.0873905178.

The spelling of 1664374800 in words is "one billion, six hundred sixty-four million, three hundred seventy-four thousand, eight hundred".