612773280 has 576 divisors, whose sum is σ = 2581383168. Its totient is φ = 129392640.

The previous prime is 612773269. The next prime is 612773297. The reversal of 612773280 is 82377216.

612773280 is a `hidden beast` number, since 61 + 277 + 328 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11561734 + ... + 11561786.

It is an arithmetic number, because the mean of its divisors is an integer number (4481568).

Almost surely, 2^612773280 is an apocalyptic number.

612773280 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 612773280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290691584).

612773280 is an abundant number, since it is smaller than the sum of its proper divisors (1968609888).

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

612773280 is a wasteful number, since it uses less digits than its factorization.

612773280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 612773280 is about 24754.2578155759. The cubic root of 612773280 is about 849.3759109808.

The spelling of 612773280 in words is "six hundred twelve million, seven hundred seventy-three thousand, two hundred eighty".