612417728160 has 768 divisors, whose sum is σ = 2524207795200. Its totient is φ = 135762739200.

The previous prime is 612417728137. The next prime is 612417728173. The reversal of 612417728160 is 61827714216.

612417728160 is a `hidden beast` number, since 6 + 1 + 2 + 417 + 72 + 8 + 160 = 666.

612417728160 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 224409676 + ... + 224412404.

It is an arithmetic number, because the mean of its divisors is an integer number (3286728900).

Almost surely, 2^612417728160 is an apocalyptic number.

612417728160 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 612417728160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262103897600).

612417728160 is an abundant number, since it is smaller than the sum of its proper divisors (1911790067040).

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

612417728160 is a wasteful number, since it uses less digits than its factorization.

612417728160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2982 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 612417728160 in words is "six hundred twelve billion, four hundred seventeen million, seven hundred twenty-eight thousand, one hundred sixty".