661874242176 has 384 divisors, whose sum is σ = 2198403192960. Its totient is φ = 187229306880.

The previous prime is 661874242121. The next prime is 661874242181. The reversal of 661874242176 is 671242478166.

661874242176 is a `hidden beast` number, since 6 + 618 + 7 + 4 + 2 + 4 + 2 + 17 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 681641371 + ... + 681642341.

It is an arithmetic number, because the mean of its divisors is an integer number (5725008315).

Almost surely, 2^661874242176 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 661874242176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099201596480).

661874242176 is an abundant number, since it is smaller than the sum of its proper divisors (1536528950784).

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

661874242176 is a wasteful number, since it uses less digits than its factorization.

661874242176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1737 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 661874242176 in words is "six hundred sixty-one billion, eight hundred seventy-four million, two hundred forty-two thousand, one hundred seventy-six".