612386786880 has 1344 divisors, whose sum is σ = 2567178731520. Its totient is φ = 132279091200.

The previous prime is 612386786827. The next prime is 612386786933. The reversal of 612386786880 is 88687683216.

612386786880 is a `hidden beast` number, since 612 + 3 + 8 + 6 + 7 + 8 + 6 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (612386786827) and next prime (612386786933).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 690401797 + ... + 690402683.

Almost surely, 2^612386786880 is an apocalyptic number.

612386786880 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 612386786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283589365760).

612386786880 is an abundant number, since it is smaller than the sum of its proper divisors (1954791944640).

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

612386786880 is a wasteful number, since it uses less digits than its factorization.

612386786880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 612386786880 in words is "six hundred twelve billion, three hundred eighty-six million, seven hundred eighty-six thousand, eight hundred eighty".