617982078320 has 80 divisors (see below), whose sum is σ = 1556706301920. Its totient is φ = 227241541632.

The previous prime is 617982078319. The next prime is 617982078361. The reversal of 617982078320 is 23870289716.

617982078320 is digitally balanced in base 2, because in such base 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 (80).

It is a super-2 number, since 2×617982078320² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5225225 + ... + 5342184.

It is an arithmetic number, because the mean of its divisors is an integer number (19458828774).

Almost surely, 2^617982078320 is an apocalyptic number.

It is an amenable number.

617982078320 is an abundant number, since it is smaller than the sum of its proper divisors (938724223600).

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

617982078320 is a wasteful number, since it uses less digits than its factorization.

617982078320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10567482 (or 10567476 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 53.

The spelling of 617982078320 in words is "six hundred seventeen billion, nine hundred eighty-two million, seventy-eight thousand, three hundred twenty".