613194430464 has 768 divisors, whose sum is σ = 2294562816000. Its totient is φ = 157168926720.

The previous prime is 613194430417. The next prime is 613194430481. The reversal of 613194430464 is 464034491316.

613194430464 is a `hidden beast` number, since 61 + 3 + 1 + 94 + 43 + 0 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 336364657 + ... + 336366479.

It is an arithmetic number, because the mean of its divisors is an integer number (2987712000).

Almost surely, 2^613194430464 is an apocalyptic number.

613194430464 is a gapful number since it is divisible by the number (64) 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 613194430464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147281408000).

613194430464 is an abundant number, since it is smaller than the sum of its proper divisors (1681368385536).

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

613194430464 is a wasteful number, since it uses less digits than its factorization.

613194430464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 613194430464 in words is "six hundred thirteen billion, one hundred ninety-four million, four hundred thirty thousand, four hundred sixty-four".