613047288672 has 1536 divisors, whose sum is σ = 2424084848640. Its totient is φ = 146193776640.

The previous prime is 613047288593. The next prime is 613047288683. The reversal of 613047288672 is 276882740316.

613047288672 is a `hidden beast` number, since 6 + 1 + 30 + 472 + 88 + 67 + 2 = 666.

613047288672 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5951915373 + ... + 5951915475.

It is an arithmetic number, because the mean of its divisors is an integer number (1578180240).

Almost surely, 2^613047288672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613047288672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212042424320).

613047288672 is an abundant number, since it is smaller than the sum of its proper divisors (1811037559968).

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

613047288672 is a wasteful number, since it uses less digits than its factorization.

613047288672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 613047288672 in words is "six hundred thirteen billion, forty-seven million, two hundred eighty-eight thousand, six hundred seventy-two".