561340592640 has 640 divisors, whose sum is σ = 2074801132800. Its totient is φ = 143681126400.

The previous prime is 561340592633. The next prime is 561340592689. The reversal of 561340592640 is 46295043165.

561340592640 is a `hidden beast` number, since 5 + 6 + 13 + 4 + 0 + 592 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 386863915 + ... + 386865365.

It is an arithmetic number, because the mean of its divisors is an integer number (3241876770).

Almost surely, 2^561340592640 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 561340592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037400566400).

561340592640 is an abundant number, since it is smaller than the sum of its proper divisors (1513460540160).

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

561340592640 is a wasteful number, since it uses less digits than its factorization.

561340592640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1683 counting only the distinct ones).

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

The spelling of 561340592640 in words is "five hundred sixty-one billion, three hundred forty million, five hundred ninety-two thousand, six hundred forty".