612304873920 has 672 divisors, whose sum is σ = 2335110156288. Its totient is φ = 146477776896.

The previous prime is 612304873907. The next prime is 612304873987. The reversal of 612304873920 is 29378403216.

612304873920 is a `hidden beast` number, since 61 + 23 + 0 + 487 + 3 + 92 + 0 = 666.

612304873920 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 390748977 + ... + 390750543.

It is an arithmetic number, because the mean of its divisors is an integer number (3474866304).

Almost surely, 2^612304873920 is an apocalyptic number.

612304873920 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 612304873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167555078144).

612304873920 is an abundant number, since it is smaller than the sum of its proper divisors (1722805282368).

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

612304873920 is a wasteful number, since it uses less digits than its factorization.

612304873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 612304873920 in words is "six hundred twelve billion, three hundred four million, eight hundred seventy-three thousand, nine hundred twenty".