8407161756 has 288 divisors, whose sum is σ = 26291865600. Its totient is φ = 2212987392.

The previous prime is 8407161731. The next prime is 8407161769. The reversal of 8407161756 is 6571617048.

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, 42246945 + ... + 42247143.

It is an arithmetic number, because the mean of its divisors is an integer number (91291200).

Almost surely, 2^8407161756 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 8407161756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13145932800).

8407161756 is an abundant number, since it is smaller than the sum of its proper divisors (17884703844).

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

8407161756 is a wasteful number, since it uses less digits than its factorization.

8407161756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 8407161756 is about 91690.5761569857. The cubic root of 8407161756 is about 2033.3702624366.

The spelling of 8407161756 in words is "eight billion, four hundred seven million, one hundred sixty-one thousand, seven hundred fifty-six".