8691046872480 has 864 divisors, whose sum is σ = 35087612047488. Its totient is φ = 1952875008000.

The previous prime is 8691046872479. The next prime is 8691046872499. The reversal of 8691046872480 is 842786401968.

8691046872480 is a `hidden beast` number, since 8 + 6 + 91 + 0 + 4 + 68 + 7 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1868638155 + ... + 1868642805.

It is an arithmetic number, because the mean of its divisors is an integer number (40610662092).

Almost surely, 2^{8691046872480} is an apocalyptic number.

8691046872480 is a gapful number since it is divisible by the number (80) 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 8691046872480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17543806023744).

8691046872480 is an abundant number, since it is smaller than the sum of its proper divisors (26396565175008).

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

8691046872480 is a wasteful number, since it uses less digits than its factorization.

8691046872480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5130 (or 5112 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 8691046872480 in words is "eight trillion, six hundred ninety-one billion, forty-six million, eight hundred seventy-two thousand, four hundred eighty".