612341217600 has 1344 divisors, whose sum is σ = 2514439065600. Its totient is φ = 127393136640.

The previous prime is 612341217599. The next prime is 612341217601. The reversal of 612341217600 is 6712143216.

It is an interprime number because it is at equal distance from previous prime (612341217599) and next prime (612341217601).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612341217601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1994596647 + ... + 1994596953.

It is an arithmetic number, because the mean of its divisors is an integer number (1870862400).

Almost surely, 2^612341217600 is an apocalyptic number.

612341217600 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 612341217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257219532800).

612341217600 is an abundant number, since it is smaller than the sum of its proper divisors (1902097848000).

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

612341217600 is a wasteful number, since it uses less digits than its factorization.

612341217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 612341217600 in words is "six hundred twelve billion, three hundred forty-one million, two hundred seventeen thousand, six hundred".