89779472064 has 336 divisors, whose sum is σ = 274220427936. Its totient is φ = 29113344000.

The previous prime is 89779472063. The next prime is 89779472077. The reversal of 89779472064 is 46027497798.

89779472064 is a `hidden beast` number, since 8 + 97 + 79 + 472 + 0 + 6 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 89779471992 and 89779472010.

It is not an unprimeable number, because it can be changed into a prime (89779472063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95815404 + ... + 95816340.

It is an arithmetic number, because the mean of its divisors is an integer number (816132226).

Almost surely, 2^89779472064 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 89779472064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137110213968).

89779472064 is an abundant number, since it is smaller than the sum of its proper divisors (184440955872).

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

89779472064 is a wasteful number, since it uses less digits than its factorization.

89779472064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 89779472064 in words is "eighty-nine billion, seven hundred seventy-nine million, four hundred seventy-two thousand, sixty-four".