66587062320 has 240 divisors, whose sum is σ = 228025717920. Its totient is φ = 17410277376.

The previous prime is 66587062303. The next prime is 66587062327. The reversal of 66587062320 is 2326078566.

It is a happy number.

66587062320 is a `hidden beast` number, since 6 + 6 + 587 + 0 + 62 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (66587062327) 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, 7608187 + ... + 7616933.

It is an arithmetic number, because the mean of its divisors is an integer number (950107158).

Almost surely, 2^66587062320 is an apocalyptic number.

66587062320 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 66587062320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114012858960).

66587062320 is an abundant number, since it is smaller than the sum of its proper divisors (161438655600).

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

66587062320 is a wasteful number, since it uses less digits than its factorization.

66587062320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8972 (or 8963 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 66587062320 in words is "sixty-six billion, five hundred eighty-seven million, sixty-two thousand, three hundred twenty".