66657086496 has 1728 divisors, whose sum is σ = 287985559680. Its totient is φ = 14306181120.

The previous prime is 66657086491. The next prime is 66657086537. The reversal of 66657086496 is 69468075666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (66657086491) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 994881855 + ... + 994881921.

It is an arithmetic number, because the mean of its divisors is an integer number (166658310).

Almost surely, 2^66657086496 is an apocalyptic number.

66657086496 is a gapful number since it is divisible by the number (66) 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 66657086496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143992779840).

66657086496 is an abundant number, since it is smaller than the sum of its proper divisors (221328473184).

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

66657086496 is a wasteful number, since it uses less digits than its factorization.

66657086496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 66657086496 in words is "sixty-six billion, six hundred fifty-seven million, eighty-six thousand, four hundred ninety-six".