66518970400 has 288 divisors, whose sum is σ = 173548267200. Its totient is φ = 24852172800.

The previous prime is 66518970359. The next prime is 66518970437. The reversal of 66518970400 is 407981566.

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 47 ways as a sum of consecutive naturals, for example, 130685346 + ... + 130685854.

It is an arithmetic number, because the mean of its divisors is an integer number (602598150).

Almost surely, 2^66518970400 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 66518970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86774133600).

66518970400 is an abundant number, since it is smaller than the sum of its proper divisors (107029296800).

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

66518970400 is a wasteful number, since it uses less digits than its factorization.

66518970400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 66518970400 in words is "sixty-six billion, five hundred eighteen million, nine hundred seventy thousand, four hundred".