612839742912 has 560 divisors, whose sum is σ = 1918871143200. Its totient is φ = 193133445120.

The previous prime is 612839742887. The next prime is 612839742919. The reversal of 612839742912 is 219247938216.

612839742912 is a `hidden beast` number, since 6 + 1 + 283 + 9 + 74 + 291 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (2612736) is a multiple of the sum of its prime divisors (567).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612839742919) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2180924212 + ... + 2180924492.

Almost surely, 2^612839742912 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 612839742912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959435571600).

612839742912 is an abundant number, since it is smaller than the sum of its proper divisors (1306031400288).

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

612839742912 is a wasteful number, since it uses less digits than its factorization.

612839742912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 567 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 612839742912 in words is "six hundred twelve billion, eight hundred thirty-nine million, seven hundred forty-two thousand, nine hundred twelve".