612476557056 has 1440 divisors, whose sum is σ = 2426711430528. Its totient is φ = 149060321280.

The previous prime is 612476557013. The next prime is 612476557061. The reversal of 612476557056 is 650755674216.

It is a happy number.

612476557056 is a `hidden beast` number, since 6 + 1 + 2 + 4 + 7 + 65 + 570 + 5 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 612476556993 and 612476557011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1956793956 + ... + 1956794268.

Almost surely, 2^612476557056 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 612476557056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213355715264).

612476557056 is an abundant number, since it is smaller than the sum of its proper divisors (1814234873472).

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

612476557056 is a wasteful number, since it uses less digits than its factorization.

612476557056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 612476557056 in words is "six hundred twelve billion, four hundred seventy-six million, five hundred fifty-seven thousand, fifty-six".