617431997952 has 1280 divisors, whose sum is σ = 2387821455360. Its totient is φ = 152882380800.

The previous prime is 617431997911. The next prime is 617431997957. The reversal of 617431997952 is 259799134716.

617431997952 is a `hidden beast` number, since 61 + 7 + 431 + 9 + 97 + 9 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (25719120) is a multiple of the sum of its prime divisors (378).

It is a self number, because there is not a number n which added to its sum of digits gives 617431997952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (617431997957) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2402459008 + ... + 2402459264.

It is an arithmetic number, because the mean of its divisors is an integer number (1865485512).

Almost surely, 2^617431997952 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 617431997952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193910727680).

617431997952 is an abundant number, since it is smaller than the sum of its proper divisors (1770389457408).

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

617431997952 is a wasteful number, since it uses less digits than its factorization.

617431997952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 378 counting only the distinct ones).

The product of its digits is 25719120, while the sum is 63.

The spelling of 617431997952 in words is "six hundred seventeen billion, four hundred thirty-one million, nine hundred ninety-seven thousand, nine hundred fifty-two".