612488770560 has 396 divisors, whose sum is σ = 2203891831908. Its totient is φ = 163321380864.

The previous prime is 612488770549. The next prime is 612488770601. The reversal of 612488770560 is 65077884216.

612488770560 is a `hidden beast` number, since 6 + 1 + 2 + 4 + 8 + 8 + 7 + 70 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 304809993216 + 307678777344 = 552096^2 + 554688^2 .

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 = 612488770497 and 612488770506.

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 35 ways as a sum of consecutive naturals, for example, 33583204 + ... + 33601436.

Almost surely, 2^612488770560 is an apocalyptic number.

612488770560 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 612488770560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101945915954).

612488770560 is an abundant number, since it is smaller than the sum of its proper divisors (1591403061348).

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

612488770560 is an frugal number, since it uses more digits than its factorization.

612488770560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18282 (or 18243 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 612488770560 in words is "six hundred twelve billion, four hundred eighty-eight million, seven hundred seventy thousand, five hundred sixty".