66647654400 has 384 divisors, whose sum is σ = 225457176960. Its totient is φ = 17364418560.

The previous prime is 66647654387. The next prime is 66647654413. The reversal of 66647654400 is 445674666.

It is an interprime number because it is at equal distance from previous prime (66647654387) and next prime (66647654413).

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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 66647654400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115506912 + ... + 115507488.

It is an arithmetic number, because the mean of its divisors is an integer number (587128065).

Almost surely, 2^66647654400 is an apocalyptic number.

66647654400 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 66647654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112728588480).

66647654400 is an abundant number, since it is smaller than the sum of its proper divisors (158809522560).

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

66647654400 is an equidigital number, since it uses as much as digits as its factorization.

66647654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 66647654400 in words is "sixty-six billion, six hundred forty-seven million, six hundred fifty-four thousand, four hundred".