617252106240 has 2496 divisors, whose sum is σ = 2958196032000. Its totient is φ = 120394874880.

The previous prime is 617252106193. The next prime is 617252106253. The reversal of 617252106240 is 42601252716.

It is a happy number.

617252106240 is a `hidden beast` number, since 6 + 1 + 7 + 2 + 5 + 21 + 0 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 617252106195 and 617252106204.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5662863306 + ... + 5662863414.

Almost surely, 2^617252106240 is an apocalyptic number.

617252106240 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 617252106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479098016000).

617252106240 is an abundant number, since it is smaller than the sum of its proper divisors (2340943925760).

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

617252106240 is a wasteful number, since it uses less digits than its factorization.

617252106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 617252106240 its reverse (42601252716), we get a palindrome (659853358956).

The spelling of 617252106240 in words is "six hundred seventeen billion, two hundred fifty-two million, one hundred six thousand, two hundred forty".