612528784560 has 1800 divisors, whose sum is σ = 2764011373200. Its totient is φ = 125242951680.

The previous prime is 612528784559. The next prime is 612528784561. The reversal of 612528784560 is 65487825216.

612528784560 is a `hidden beast` number, since 6 + 1 + 2 + 5 + 2 + 8 + 78 + 4 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (612528784559) and next prime (612528784561).

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 = 612528784497 and 612528784506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612528784561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 4110931366 + ... + 4110931514.

It is an arithmetic number, because the mean of its divisors is an integer number (1535561874).

Almost surely, 2^612528784560 is an apocalyptic number.

612528784560 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 612528784560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382005686600).

612528784560 is an abundant number, since it is smaller than the sum of its proper divisors (2151482588640).

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

612528784560 is a wasteful number, since it uses less digits than its factorization.

612528784560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 612528784560 in words is "six hundred twelve billion, five hundred twenty-eight million, seven hundred eighty-four thousand, five hundred sixty".