1667473920 has 480 divisors, whose sum is σ = 6766531200. Its totient is φ = 379330560.

The previous prime is 1667473891. The next prime is 1667473933. The reversal of 1667473920 is 293747661.

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 (45).

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, 7902615 + ... + 7902825.

It is an arithmetic number, because the mean of its divisors is an integer number (14096940).

Almost surely, 2^1667473920 is an apocalyptic number.

1667473920 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 1667473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3383265600).

1667473920 is an abundant number, since it is smaller than the sum of its proper divisors (5099057280).

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

1667473920 is an equidigital number, since it uses as much as digits as its factorization.

1667473920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 1667473920 is about 40834.7146433032. The cubic root of 1667473920 is about 1185.8224915317.

The spelling of 1667473920 in words is "one billion, six hundred sixty-seven million, four hundred seventy-three thousand, nine hundred twenty".