6002894635680 has 48 divisors (see below), whose sum is σ = 18909118103904. Its totient is φ = 1600771902720.

The previous prime is 6002894635649. The next prime is 6002894635687. The reversal of 6002894635680 is 865364982006.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6002894635680.

It is not an unprimeable number, because it can be changed into a prime (6002894635687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6253014766 + ... + 6253015725.

It is an arithmetic number, because the mean of its divisors is an integer number (393939960498).

Almost surely, 2^{6002894635680} is an apocalyptic number.

6002894635680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6002894635680 is an abundant number, since it is smaller than the sum of its proper divisors (12906223468224).

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

6002894635680 is a wasteful number, since it uses less digits than its factorization.

6002894635680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12506030509 (or 12506030501 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 6002894635680 in words is "six trillion, two billion, eight hundred ninety-four million, six hundred thirty-five thousand, six hundred eighty".