613520781840 has 240 divisors, whose sum is σ = 2145675168000. Its totient is φ = 162919766016.

The previous prime is 613520781829. The next prime is 613520781901. The reversal of 613520781840 is 48187025316.

613520781840 is a `hidden beast` number, since 6 + 1 + 3 + 520 + 7 + 81 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4580136 + ... + 4712184.

It is an arithmetic number, because the mean of its divisors is an integer number (8940313200).

Almost surely, 2^613520781840 is an apocalyptic number.

613520781840 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 613520781840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072837584000).

613520781840 is an abundant number, since it is smaller than the sum of its proper divisors (1532154386160).

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

613520781840 is a wasteful number, since it uses less digits than its factorization.

613520781840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132316 (or 132298 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 613520781840 in words is "six hundred thirteen billion, five hundred twenty million, seven hundred eighty-one thousand, eight hundred forty".