61769569680 has 1120 divisors, whose sum is σ = 269953721856. Its totient is φ = 12791955456.

The previous prime is 61769569663. The next prime is 61769569699. The reversal of 61769569680 is 8696596716.

61769569680 is a `hidden beast` number, since 6 + 1 + 7 + 6 + 9 + 569 + 68 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 546633304 + ... + 546633416.

Almost surely, 2^61769569680 is an apocalyptic number.

61769569680 is a gapful number since it is divisible by the number (60) 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 61769569680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134976860928).

61769569680 is an abundant number, since it is smaller than the sum of its proper divisors (208184152176).

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

61769569680 is a wasteful number, since it uses less digits than its factorization.

61769569680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 61769569680 in words is "sixty-one billion, seven hundred sixty-nine million, five hundred sixty-nine thousand, six hundred eighty".