617340987648 has 1728 divisors, whose sum is σ = 2525261598720. Its totient is φ = 143990784000.

The previous prime is 617340987647. The next prime is 617340987773. The reversal of 617340987648 is 846789043716.

617340987648 is a `hidden beast` number, since 617 + 3 + 4 + 0 + 9 + 8 + 7 + 6 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×617340987648² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (617340987647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8694943453 + ... + 8694943523.

It is an arithmetic number, because the mean of its divisors is an integer number (1461378240).

Almost surely, 2^617340987648 is an apocalyptic number.

617340987648 is a gapful number since it is divisible by the number (68) 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 617340987648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262630799360).

617340987648 is an abundant number, since it is smaller than the sum of its proper divisors (1907920611072).

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

617340987648 is a wasteful number, since it uses less digits than its factorization.

617340987648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 617340987648 in words is "six hundred seventeen billion, three hundred forty million, nine hundred eighty-seven thousand, six hundred forty-eight".