617806136640 has 336 divisors, whose sum is σ = 2464079619456. Its totient is φ = 128375132160.

The previous prime is 617806136561. The next prime is 617806136653. The reversal of 617806136640 is 46631608716.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 617806136640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433222 + ... + 1193018.

It is an arithmetic number, because the mean of its divisors is an integer number (7333570296).

Almost surely, 2^617806136640 is an apocalyptic number.

617806136640 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 617806136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232039809728).

617806136640 is an abundant number, since it is smaller than the sum of its proper divisors (1846273482816).

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

617806136640 is a wasteful number, since it uses less digits than its factorization.

617806136640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759846 (or 759825 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 617806136640 in words is "six hundred seventeen billion, eight hundred six million, one hundred thirty-six thousand, six hundred forty".