61669284768 has 576 divisors, whose sum is σ = 228042864000. Its totient is φ = 16068907008.

The previous prime is 61669284757. The next prime is 61669284811. The reversal of 61669284768 is 86748296616.

61669284768 is a `hidden beast` number, since 616 + 6 + 9 + 2 + 8 + 4 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48982123 + ... + 48983381.

It is an arithmetic number, because the mean of its divisors is an integer number (395907750).

Almost surely, 2^61669284768 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 61669284768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114021432000).

61669284768 is an abundant number, since it is smaller than the sum of its proper divisors (166373579232).

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

61669284768 is a wasteful number, since it uses less digits than its factorization.

61669284768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1373 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 61669284768 in words is "sixty-one billion, six hundred sixty-nine million, two hundred eighty-four thousand, seven hundred sixty-eight".