1674224640 has 440 divisors, whose sum is σ = 6562714752. Its totient is φ = 404766720.

The previous prime is 1674224639. The next prime is 1674224663. The reversal of 1674224640 is 464224761.

1674224640 is a `hidden beast` number, since 1 + 6 + 7 + 4 + 2 + 2 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1674224595 and 1674224604.

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 39 ways as a sum of consecutive naturals, for example, 4561737 + ... + 4562103.

Almost surely, 2^1674224640 is an apocalyptic number.

1674224640 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 1674224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281357376).

1674224640 is an abundant number, since it is smaller than the sum of its proper divisors (4888490112).

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

1674224640 is a wasteful number, since it uses less digits than its factorization.

1674224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 1674224640 is about 40917.2902328588. The cubic root of 1674224640 is about 1187.4205928804.

The spelling of 1674224640 in words is "one billion, six hundred seventy-four million, two hundred twenty-four thousand, six hundred forty".