617349773040 has 1440 divisors, whose sum is σ = 2751726878208. Its totient is φ = 113186304000.

The previous prime is 617349773009. The next prime is 617349773041. The reversal of 617349773040 is 40377943716.

It is a super-2 number, since 2×617349773040² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (617349773041) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 425464315 + ... + 425465765.

Almost surely, 2^617349773040 is an apocalyptic number.

617349773040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 617349773040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375863439104).

617349773040 is an abundant number, since it is smaller than the sum of its proper divisors (2134377105168).

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

617349773040 is a wasteful number, since it uses less digits than its factorization.

617349773040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 51.

The spelling of 617349773040 in words is "six hundred seventeen billion, three hundred forty-nine million, seven hundred seventy-three thousand, forty".