8669761461504 has 1152 divisors, whose sum is σ = 32800803840000. Its totient is φ = 2218108354560.

The previous prime is 8669761461497. The next prime is 8669761461509. The reversal of 8669761461504 is 4051641679668.

It is a happy number.

8669761461504 is a `hidden beast` number, since 8 + 6 + 6 + 9 + 7 + 6 + 1 + 4 + 615 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8669761461509) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 544609257 + ... + 544625175.

It is an arithmetic number, because the mean of its divisors is an integer number (28472920000).

Almost surely, 2^{8669761461504} 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 8669761461504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16400401920000).

8669761461504 is an abundant number, since it is smaller than the sum of its proper divisors (24131042378496).

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

8669761461504 is a wasteful number, since it uses less digits than its factorization.

8669761461504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16016 (or 15996 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 8669761461504 in words is "eight trillion, six hundred sixty-nine billion, seven hundred sixty-one million, four hundred sixty-one thousand, five hundred four".