613248330240 has 2240 divisors, whose sum is σ = 2849268635136. Its totient is φ = 122974765056.

The previous prime is 613248330239. The next prime is 613248330257. The reversal of 613248330240 is 42033842316.

613248330240 is a `hidden beast` number, since 6 + 132 + 483 + 3 + 0 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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 = 613248330195 and 613248330204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3906040242 + ... + 3906040398.

Almost surely, 2^613248330240 is an apocalyptic number.

613248330240 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 613248330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424634317568).

613248330240 is an abundant number, since it is smaller than the sum of its proper divisors (2236020304896).

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

613248330240 is a wasteful number, since it uses less digits than its factorization.

613248330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 613248330240 in words is "six hundred thirteen billion, two hundred forty-eight million, three hundred thirty thousand, two hundred forty".