612773274960 has 720 divisors, whose sum is σ = 2708274284352. Its totient is φ = 127327334400.

The previous prime is 612773274863. The next prime is 612773274961. The reversal of 612773274960 is 69472377216.

612773274960 is a `hidden beast` number, since 6 + 1 + 277 + 327 + 49 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 612773274897 and 612773274906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612773274961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10448920 + ... + 10507400.

Almost surely, 2^612773274960 is an apocalyptic number.

612773274960 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 612773274960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354137142176).

612773274960 is an abundant number, since it is smaller than the sum of its proper divisors (2095501009392).

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

612773274960 is a wasteful number, since it uses less digits than its factorization.

612773274960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58534 (or 58509 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 612773274960 in words is "six hundred twelve billion, seven hundred seventy-three million, two hundred seventy-four thousand, nine hundred sixty".