66624147652608 has 768 divisors, whose sum is σ = 237360769813440. Its totient is φ = 17535722323968.

The previous prime is 66624147652591. The next prime is 66624147652651. The reversal of 66624147652608 is 80625674142666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14948202316 + ... + 14948206772.

Almost surely, 2^{66624147652608} 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 66624147652608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118680384906720).

66624147652608 is an abundant number, since it is smaller than the sum of its proper divisors (170736622160832).

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

66624147652608 is a wasteful number, since it uses less digits than its factorization.

66624147652608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5070 (or 5039 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 66624147652608 in words is "sixty-six trillion, six hundred twenty-four billion, one hundred forty-seven million, six hundred fifty-two thousand, six hundred eight".