561197736000 has 336 divisors, whose sum is σ = 2190000728448. Its totient is φ = 136047744000.

The previous prime is 561197735999. The next prime is 561197736013. The reversal of 561197736000 is 637791165.

561197736000 is a `hidden beast` number, since 561 + 19 + 7 + 73 + 6 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 437709 + ... + 1146291.

Almost surely, 2^561197736000 is an apocalyptic number.

561197736000 is a gapful number since it is divisible by the number (50) 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 561197736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095000364224).

561197736000 is an abundant number, since it is smaller than the sum of its proper divisors (1628802992448).

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

561197736000 is a wasteful number, since it uses less digits than its factorization.

561197736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708627 (or 708604 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 561197736000 in words is "five hundred sixty-one billion, one hundred ninety-seven million, seven hundred thirty-six thousand".