613789680 has 480 divisors, whose sum is σ = 2422344960. Its totient is φ = 127733760.

The previous prime is 613789637. The next prime is 613789717. The reversal of 613789680 is 86987316.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9161007 + ... + 9161073.

It is an arithmetic number, because the mean of its divisors is an integer number (5046552).

Almost surely, 2^613789680 is an apocalyptic number.

613789680 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 613789680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211172480).

613789680 is an abundant number, since it is smaller than the sum of its proper divisors (1808555280).

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

613789680 is a wasteful number, since it uses less digits than its factorization.

613789680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 613789680 is about 24774.7791110234. The cubic root of 613789680 is about 849.8452682592.

The spelling of 613789680 in words is "six hundred thirteen million, seven hundred eighty-nine thousand, six hundred eighty".