612523956240 has 480 divisors, whose sum is σ = 2541555544320. Its totient is φ = 129051242496.

The previous prime is 612523956223. The next prime is 612523956241. The reversal of 612523956240 is 42659325216.

612523956240 is a `hidden beast` number, since 6 + 1 + 2 + 52 + 39 + 562 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (612523956241) by changing a digit.

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, 3456682 + ... + 3629558.

It is an arithmetic number, because the mean of its divisors is an integer number (5294907384).

Almost surely, 2^612523956240 is an apocalyptic number.

612523956240 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 612523956240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270777772160).

612523956240 is an abundant number, since it is smaller than the sum of its proper divisors (1929031588080).

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

612523956240 is a wasteful number, since it uses less digits than its factorization.

612523956240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172959 (or 172950 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 612523956240 in words is "six hundred twelve billion, five hundred twenty-three million, nine hundred fifty-six thousand, two hundred forty".