66725058400 has 576 divisors, whose sum is σ = 221220840960. Its totient is φ = 18977587200.

The previous prime is 66725058359. The next prime is 66725058419. The reversal of 66725058400 is 485052766.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77677171 + ... + 77678029.

It is an arithmetic number, because the mean of its divisors is an integer number (384063960).

Almost surely, 2^66725058400 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 66725058400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110610420480).

66725058400 is an abundant number, since it is smaller than the sum of its proper divisors (154495782560).

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

66725058400 is a wasteful number, since it uses less digits than its factorization.

66725058400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 66725058400 in words is "sixty-six billion, seven hundred twenty-five million, fifty-eight thousand, four hundred".