8007645085902 has 64 divisors (see below), whose sum is σ = 22185683366400. Its totient is φ = 2079907813440.

The previous prime is 8007645085819. The next prime is 8007645085903. The reversal of 8007645085902 is 2095805467008.

8007645085902 is a `hidden beast` number, since 8 + 0 + 0 + 7 + 6 + 45 + 0 + 8 + 590 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8007645085903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 962916127 + ... + 962924442.

It is an arithmetic number, because the mean of its divisors is an integer number (346651302600).

Almost surely, 2^{8007645085902} is an apocalyptic number.

8007645085902 is an abundant number, since it is smaller than the sum of its proper divisors (14178038280498).

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

8007645085902 is a wasteful number, since it uses less digits than its factorization.

8007645085902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925840598 (or 1925840592 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 8007645085902 in words is "eight trillion, seven billion, six hundred forty-five million, eighty-five thousand, nine hundred two".