607601580768 has 288 divisors, whose sum is σ = 2127649305600. Its totient is φ = 160167932928.

The previous prime is 607601580749. The next prime is 607601580793. The reversal of 607601580768 is 867085106706.

607601580768 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69682713 + ... + 69691431.

It is an arithmetic number, because the mean of its divisors is an integer number (7387671200).

Almost surely, 2^607601580768 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 607601580768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063824652800).

607601580768 is an abundant number, since it is smaller than the sum of its proper divisors (1520047724832).

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

607601580768 is a wasteful number, since it uses less digits than its factorization.

607601580768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11414 (or 11403 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 607601580768 in words is "six hundred seven billion, six hundred one million, five hundred eighty thousand, seven hundred sixty-eight".