613467940680 has 1280 divisors, whose sum is σ = 2574291456000. Its totient is φ = 127950907392.

The previous prime is 613467940609. The next prime is 613467940693. The reversal of 613467940680 is 86049764316.

613467940680 is a `hidden beast` number, since 6 + 13 + 467 + 94 + 0 + 6 + 80 = 666.

613467940680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1618648731 + ... + 1618649109.

It is an arithmetic number, because the mean of its divisors is an integer number (2011165200).

Almost surely, 2^613467940680 is an apocalyptic number.

613467940680 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 613467940680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287145728000).

613467940680 is an abundant number, since it is smaller than the sum of its proper divisors (1960823515320).

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

613467940680 is a wasteful number, since it uses less digits than its factorization.

613467940680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 613467940680 in words is "six hundred thirteen billion, four hundred sixty-seven million, nine hundred forty thousand, six hundred eighty".