613203284191680 has 7168 divisors, whose sum is σ = 3115839799296000. Its totient is φ = 109655652040704.

The previous prime is 613203284191669. The next prime is 613203284191681. The reversal of 613203284191680 is 86191482302316.

It is a happy number.

613203284191680 is a `hidden beast` number, since 6 + 1 + 3 + 203 + 2 + 8 + 419 + 16 + 8 + 0 = 666.

613203284191680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613203284191681) by changing a digit.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 1617950617731 + ... + 1617950618109.

It is an arithmetic number, because the mean of its divisors is an integer number (434687472000).

Almost surely, 2^{613203284191680} is an apocalyptic number.

613203284191680 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 613203284191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557919899648000).

613203284191680 is an abundant number, since it is smaller than the sum of its proper divisors (2502636515104320).

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

613203284191680 is a wasteful number, since it uses less digits than its factorization.

613203284191680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 613203284191680 in words is "six hundred thirteen trillion, two hundred three billion, two hundred eighty-four million, one hundred ninety-one thousand, six hundred eighty".