561478988736 has 168 divisors, whose sum is σ = 1706676448464. Its totient is φ = 175878512640.

The previous prime is 561478988701. The next prime is 561478988771. The reversal of 561478988736 is 637889874165.

561478988736 is a `hidden beast` number, since 5 + 6 + 1 + 478 + 9 + 88 + 73 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (561478988701) and next prime (561478988771).

It is a super-3 number, since 3×561478988736³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 6350271 + ... + 6438081.

Almost surely, 2^561478988736 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 561478988736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853338224232).

561478988736 is an abundant number, since it is smaller than the sum of its proper divisors (1145197459728).

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

561478988736 is a wasteful number, since it uses less digits than its factorization.

561478988736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88499 (or 88486 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 72.

The spelling of 561478988736 in words is "five hundred sixty-one billion, four hundred seventy-eight million, nine hundred eighty-eight thousand, seven hundred thirty-six".