613611123840 has 1024 divisors, whose sum is σ = 2566287360000. Its totient is φ = 136605450240.

The previous prime is 613611123823. The next prime is 613611123883. The reversal of 613611123840 is 48321116316.

613611123840 is a `hidden beast` number, since 6 + 1 + 3 + 611 + 1 + 2 + 38 + 4 + 0 = 666.

It is a super-2 number, since 2×613611123840² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 613611123795 and 613611123804.

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 127 ways as a sum of consecutive naturals, for example, 590578041 + ... + 590579079.

It is an arithmetic number, because the mean of its divisors is an integer number (2506140000).

Almost surely, 2^613611123840 is an apocalyptic number.

613611123840 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 613611123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283143680000).

613611123840 is an abundant number, since it is smaller than the sum of its proper divisors (1952676236160).

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

613611123840 is a wasteful number, since it uses less digits than its factorization.

613611123840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 613611123840 in words is "six hundred thirteen billion, six hundred eleven million, one hundred twenty-three thousand, eight hundred forty".