612802449685440 has 3024 divisors, whose sum is σ = 2687851173964320. Its totient is φ = 127655354695680.

The previous prime is 612802449685417. The next prime is 612802449685499. The reversal of 612802449685440 is 44586944208216.

It is a happy number.

612802449685440 is a `hidden beast` number, since 6 + 1 + 2 + 8 + 0 + 24 + 4 + 9 + 68 + 544 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 152476347751 + ... + 152476351769.

It is an arithmetic number, because the mean of its divisors is an integer number (888839673930).

Almost surely, 2^{612802449685440} is an apocalyptic number.

612802449685440 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 612802449685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343925586982160).

612802449685440 is an abundant number, since it is smaller than the sum of its proper divisors (2075048724278880).

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

612802449685440 is a wasteful number, since it uses less digits than its factorization.

612802449685440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4208 (or 4169 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 612802449685440 in words is "six hundred twelve trillion, eight hundred two billion, four hundred forty-nine million, six hundred eighty-five thousand, four hundred forty".