1671744480 has 192 divisors, whose sum is σ = 6035420160. Its totient is φ = 381026304.

The previous prime is 1671744461. The next prime is 1671744493. The reversal of 1671744480 is 844471761.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2173536 + ... + 2174304.

It is an arithmetic number, because the mean of its divisors is an integer number (31434480).

Almost surely, 2^1671744480 is an apocalyptic number.

1671744480 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 1671744480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017710080).

1671744480 is an abundant number, since it is smaller than the sum of its proper divisors (4363675680).

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

1671744480 is a wasteful number, since it uses less digits than its factorization.

1671744480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 1671744480 is about 40886.9720082082. The cubic root of 1671744480 is about 1186.8339634239.

The spelling of 1671744480 in words is "one billion, six hundred seventy-one million, seven hundred forty-four thousand, four hundred eighty".