7468864340064 has 96 divisors (see below), whose sum is σ = 20293361012736. Its totient is φ = 2402745845760.

The previous prime is 7468864340053. The next prime is 7468864340107. The reversal of 7468864340064 is 4600434688647.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2327017 + ... + 4511400.

It is an arithmetic number, because the mean of its divisors is an integer number (211389177216).

Almost surely, 2^{7468864340064} is an apocalyptic number.

It is an amenable number.

7468864340064 is an abundant number, since it is smaller than the sum of its proper divisors (12824496672672).

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

7468864340064 is a wasteful number, since it uses less digits than its factorization.

7468864340064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6838828 (or 6838820 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 60.

The spelling of 7468864340064 in words is "seven trillion, four hundred sixty-eight billion, eight hundred sixty-four million, three hundred forty thousand, sixty-four".