612384767449920 has 224 divisors, whose sum is σ = 2160972792234240. Its totient is φ = 163256084858880.

The previous prime is 612384767449901. The next prime is 612384767449937. The reversal of 612384767449920 is 29944767483216.

612384767449920 is a `hidden beast` number, since 6 + 1 + 2 + 3 + 8 + 47 + 6 + 74 + 499 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20241354 + ... + 40428726.

Almost surely, 2^{612384767449920} is an apocalyptic number.

612384767449920 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 612384767449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080486396117120).

612384767449920 is an abundant number, since it is smaller than the sum of its proper divisors (1548588024784320).

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

612384767449920 is a wasteful number, since it uses less digits than its factorization.

612384767449920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20190910 (or 20190894 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 612384767449920 in words is "six hundred twelve trillion, three hundred eighty-four billion, seven hundred sixty-seven million, four hundred forty-nine thousand, nine hundred twenty".