1671774720 has 480 divisors, whose sum is σ = 6739818624. Its totient is φ = 346030080.

The previous prime is 1671774719. The next prime is 1671774751. The reversal of 1671774720 is 274771761.

1671774720 = T₃₆₁ + T₃₆₂ + ... + T₂₁₅₉.

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 (42).

It is a congruent number.

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, 6504832 + ... + 6505088.

Almost surely, 2^1671774720 is an apocalyptic number.

1671774720 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 1671774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3369909312).

1671774720 is an abundant number, since it is smaller than the sum of its proper divisors (5068043904).

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

1671774720 is a wasteful number, since it uses less digits than its factorization.

1671774720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 115248, while the sum is 42.

The square root of 1671774720 is about 40887.3418064809. The cubic root of 1671774720 is about 1186.8411195500.

The spelling of 1671774720 in words is "one billion, six hundred seventy-one million, seven hundred seventy-four thousand, seven hundred twenty".