561640820336640 has 3072 divisors, whose sum is σ = 2378228312678400. Its totient is φ = 124165973606400.

The previous prime is 561640820336569. The next prime is 561640820336663. The reversal of 561640820336640 is 46633028046165.

561640820336640 is a `hidden beast` number, since 5 + 6 + 164 + 0 + 82 + 0 + 3 + 366 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×561640820336640² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 633191454277 + ... + 633191455163.

It is an arithmetic number, because the mean of its divisors is an integer number (774162862200).

Almost surely, 2^{561640820336640} 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 561640820336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189114156339200).

561640820336640 is an abundant number, since it is smaller than the sum of its proper divisors (1816587492341760).

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

561640820336640 is a wasteful number, since it uses less digits than its factorization.

561640820336640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 561640820336640 in words is "five hundred sixty-one trillion, six hundred forty billion, eight hundred twenty million, three hundred thirty-six thousand, six hundred forty".