611493704640 has 1344 divisors, whose sum is σ = 2797866489600. Its totient is φ = 121385779200.

The previous prime is 611493704593. The next prime is 611493704669. The reversal of 611493704640 is 46407394116.

611493704640 is a `hidden beast` number, since 6 + 11 + 493 + 70 + 46 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 218311240 + ... + 218314040.

It is an arithmetic number, because the mean of its divisors is an integer number (2081745900).

Almost surely, 2^611493704640 is an apocalyptic number.

611493704640 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 611493704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398933244800).

611493704640 is an abundant number, since it is smaller than the sum of its proper divisors (2186372784960).

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

611493704640 is a wasteful number, since it uses less digits than its factorization.

611493704640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2875 (or 2848 counting only the distinct ones).

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

The spelling of 611493704640 in words is "six hundred eleven billion, four hundred ninety-three million, seven hundred four thousand, six hundred forty".