61768889280 has 672 divisors, whose sum is σ = 258693367296. Its totient is φ = 13732540416.

The previous prime is 61768889279. The next prime is 61768889291. The reversal of 61768889280 is 8298886716.

61768889280 is a `hidden beast` number, since 617 + 6 + 8 + 8 + 8 + 9 + 2 + 8 + 0 = 666.

61768889280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20138307 + ... + 20141373.

It is an arithmetic number, because the mean of its divisors is an integer number (384960368).

Almost surely, 2^61768889280 is an apocalyptic number.

61768889280 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 61768889280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129346683648).

61768889280 is an abundant number, since it is smaller than the sum of its proper divisors (196924478016).

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

61768889280 is a wasteful number, since it uses less digits than its factorization.

61768889280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3143 (or 3121 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 61768889280 in words is "sixty-one billion, seven hundred sixty-eight million, eight hundred eighty-nine thousand, two hundred eighty".