61069046688 has 960 divisors, whose sum is σ = 223757614080. Its totient is φ = 16124313600.

The previous prime is 61069046677. The next prime is 61069046743. The reversal of 61069046688 is 88664096016.

61069046688 is a `hidden beast` number, since 6 + 10 + 6 + 90 + 466 + 88 = 666.

It is a super-3 number, since 3×61069046688³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 337397958 + ... + 337398138.

It is an arithmetic number, because the mean of its divisors is an integer number (233080848).

Almost surely, 2^61069046688 is an apocalyptic number.

61069046688 is a gapful number since it is divisible by the number (68) 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 61069046688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111878807040).

61069046688 is an abundant number, since it is smaller than the sum of its proper divisors (162688567392).

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

61069046688 is a wasteful number, since it uses less digits than its factorization.

61069046688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 61069046688 in words is "sixty-one billion, sixty-nine million, forty-six thousand, six hundred eighty-eight".