5611980464640 has 2400 divisors, whose sum is σ = 23896575521280. Its totient is φ = 1253104680960.

The previous prime is 5611980464591. The next prime is 5611980464659. The reversal of 5611980464640 is 464640891165.

5611980464640 is a `hidden beast` number, since 5 + 6 + 119 + 8 + 0 + 464 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 25165831569 + ... + 25165831791.

Almost surely, 2^{5611980464640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5611980464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11948287760640).

5611980464640 is an abundant number, since it is smaller than the sum of its proper divisors (18284595056640).

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

5611980464640 is a wasteful number, since it uses less digits than its factorization.

5611980464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 5611980464640 in words is "five trillion, six hundred eleven billion, nine hundred eighty million, four hundred sixty-four thousand, six hundred forty".