612825484320 has 480 divisors, whose sum is σ = 2486080574208. Its totient is φ = 139261151232.

The previous prime is 612825484301. The next prime is 612825484331. The reversal of 612825484320 is 23484528216.

612825484320 is a `hidden beast` number, since 6 + 1 + 2 + 82 + 548 + 4 + 3 + 20 = 666.

612825484320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15675037 + ... + 15714083.

Almost surely, 2^612825484320 is an apocalyptic number.

612825484320 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 612825484320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243040287104).

612825484320 is an abundant number, since it is smaller than the sum of its proper divisors (1873255089888).

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

612825484320 is a wasteful number, since it uses less digits than its factorization.

612825484320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39254 (or 39237 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 612825484320 in words is "six hundred twelve billion, eight hundred twenty-five million, four hundred eighty-four thousand, three hundred twenty".