1874617668 has 384 divisors, whose sum is σ = 6453780480. Its totient is φ = 465743520.

The previous prime is 1874617651. The next prime is 1874617687. The reversal of 1874617668 is 8667164781.

1874617668 is a `hidden beast` number, since 18 + 7 + 4 + 617 + 6 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 81505105 + ... + 81505127.

It is an arithmetic number, because the mean of its divisors is an integer number (16806720).

Almost surely, 2^1874617668 is an apocalyptic number.

1874617668 is a gapful number since it is divisible by the number (18) 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 1874617668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226890240).

1874617668 is an abundant number, since it is smaller than the sum of its proper divisors (4579162812).

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

1874617668 is an equidigital number, since it uses as much as digits as its factorization.

1874617668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 46 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 1874617668 is about 43296.8551744812. The cubic root of 1874617668 is about 1233.0222170860.

The spelling of 1874617668 in words is "one billion, eight hundred seventy-four million, six hundred seventeen thousand, six hundred sixty-eight".