612340198560 has 288 divisors, whose sum is σ = 2225333794320. Its totient is φ = 152795971584.

The previous prime is 612340198537. The next prime is 612340198567. The reversal of 612340198560 is 65891043216.

612340198560 is a `hidden beast` number, since 61 + 2 + 340 + 198 + 5 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 381582940176 + 230757258384 = 617724^2 + 480372^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (612340198567) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4162746 + ... + 4307334.

Almost surely, 2^612340198560 is an apocalyptic number.

612340198560 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 612340198560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112666897160).

612340198560 is an abundant number, since it is smaller than the sum of its proper divisors (1612993595760).

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

612340198560 is a wasteful number, since it uses less digits than its factorization.

612340198560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144800 (or 144789 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 612340198560 in words is "six hundred twelve billion, three hundred forty million, one hundred ninety-eight thousand, five hundred sixty".