60766409088 has 384 divisors, whose sum is σ = 225304128000. Its totient is φ = 15782722560.

The previous prime is 60766409069. The next prime is 60766409089. The reversal of 60766409088 is 88090466706.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60766409089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2916853 + ... + 2937611.

It is an arithmetic number, because the mean of its divisors is an integer number (586729500).

Almost surely, 2^60766409088 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 60766409088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112652064000).

60766409088 is an abundant number, since it is smaller than the sum of its proper divisors (164537718912).

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

60766409088 is a wasteful number, since it uses less digits than its factorization.

60766409088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20811 (or 20782 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 60766409088 in words is "sixty billion, seven hundred sixty-six million, four hundred nine thousand, eighty-eight".