612064729728 has 384 divisors, whose sum is σ = 1876597632000. Its totient is φ = 198480264192.

The previous prime is 612064729723. The next prime is 612064729807. The reversal of 612064729728 is 827927460216.

612064729728 is a `hidden beast` number, since 61 + 2 + 0 + 6 + 472 + 97 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (612064729721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261676783 + ... + 261679121.

It is an arithmetic number, because the mean of its divisors is an integer number (4886973000).

Almost surely, 2^612064729728 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 612064729728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938298816000).

612064729728 is an abundant number, since it is smaller than the sum of its proper divisors (1264532902272).

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

612064729728 is a wasteful number, since it uses less digits than its factorization.

612064729728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 612064729728 in words is "six hundred twelve billion, sixty-four million, seven hundred twenty-nine thousand, seven hundred twenty-eight".