613679431680 has 952 divisors, whose sum is σ = 2530555291392. Its totient is φ = 139887378432.

The previous prime is 613679431597. The next prime is 613679431681. The reversal of 613679431680 is 86134976316.

It is a happy number.

613679431680 is a `hidden beast` number, since 6 + 136 + 79 + 431 + 6 + 8 + 0 = 666.

It is a super-3 number, since 3×613679431680³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613679431681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1672150857 + ... + 1672151223.

Almost surely, 2^613679431680 is an apocalyptic number.

613679431680 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 613679431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265277645696).

613679431680 is an abundant number, since it is smaller than the sum of its proper divisors (1916875859712).

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

613679431680 is an frugal number, since it uses more digits than its factorization.

613679431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 613679431680 in words is "six hundred thirteen billion, six hundred seventy-nine million, four hundred thirty-one thousand, six hundred eighty".