613752313405440 has 1344 divisors, whose sum is σ = 2216634017165568. Its totient is φ = 144816702750720.

The previous prime is 613752313405423. The next prime is 613752313405493. The reversal of 613752313405440 is 44504313257316.

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 613752313405440.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 200114870787 + ... + 200114873853.

It is an arithmetic number, because the mean of its divisors is an integer number (1649281262772).

Almost surely, 2^{613752313405440} is an apocalyptic number.

613752313405440 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 613752313405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108317008582784).

613752313405440 is an abundant number, since it is smaller than the sum of its proper divisors (1602881703760128).

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

613752313405440 is a wasteful number, since it uses less digits than its factorization.

613752313405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3479 (or 3444 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 48.

The spelling of 613752313405440 in words is "six hundred thirteen trillion, seven hundred fifty-two billion, three hundred thirteen million, four hundred five thousand, four hundred forty".