612746640 has 640 divisors, whose sum is σ = 2564835840. Its totient is φ = 132710400.

The previous prime is 612746593. The next prime is 612746653. The reversal of 612746640 is 46647216.

612746640 is a `hidden beast` number, since 6 + 1 + 2 + 7 + 4 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 612746595 and 612746604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14945020 + ... + 14945060.

It is an arithmetic number, because the mean of its divisors is an integer number (4007556).

Almost surely, 2^612746640 is an apocalyptic number.

612746640 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 612746640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282417920).

612746640 is an abundant number, since it is smaller than the sum of its proper divisors (1952089200).

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

612746640 is a wasteful number, since it uses less digits than its factorization.

612746640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 612746640 is about 24753.7197204784. The cubic root of 612746640 is about 849.3636020770.

The spelling of 612746640 in words is "six hundred twelve million, seven hundred forty-six thousand, six hundred forty".