4297661556006 has 192 divisors, whose sum is σ = 11383182720000. Its totient is φ = 1069181213184.

The previous prime is 4297661555939. The next prime is 4297661556077. The reversal of 4297661556006 is 6006551667924.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16792995 + ... + 17046993.

It is an arithmetic number, because the mean of its divisors is an integer number (59287410000).

Almost surely, 2^{4297661556006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4297661556006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5691591360000).

4297661556006 is an abundant number, since it is smaller than the sum of its proper divisors (7085521163994).

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

4297661556006 is a wasteful number, since it uses less digits than its factorization.

4297661556006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254283 (or 254276 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 57.

The spelling of 4297661556006 in words is "four trillion, two hundred ninety-seven billion, six hundred sixty-one million, five hundred fifty-six thousand, six".