1874456064 has 360 divisors, whose sum is σ = 6132966840. Its totient is φ = 550158336.

The previous prime is 1874456053. The next prime is 1874456099. The reversal of 1874456064 is 4606544781.

1874456064 is a `hidden beast` number, since 1 + 87 + 4 + 4 + 560 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22583767 + ... + 22583849.

It is an arithmetic number, because the mean of its divisors is an integer number (17036019).

Almost surely, 2^1874456064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1874456064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066483420).

1874456064 is an abundant number, since it is smaller than the sum of its proper divisors (4258510776).

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

1874456064 is a wasteful number, since it uses less digits than its factorization.

1874456064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 1874456064 is about 43294.9889017193. The cubic root of 1874456064 is about 1232.9867846078.

The spelling of 1874456064 in words is "one billion, eight hundred seventy-four million, four hundred fifty-six thousand, sixty-four".