66852864000 has 1200 divisors, whose sum is σ = 277092431616. Its totient is φ = 15925248000.

The previous prime is 66852863993. The next prime is 66852864007. The reversal of 66852864000 is 46825866.

66852864000 is a `hidden beast` number, since 6 + 68 + 528 + 64 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (66852863993) and next prime (66852864007).

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66852864007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2156543985 + ... + 2156544015.

Almost surely, 2^66852864000 is an apocalyptic number.

66852864000 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 66852864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138546215808).

66852864000 is an abundant number, since it is smaller than the sum of its proper divisors (210239567616).

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

66852864000 is an equidigital number, since it uses as much as digits as its factorization.

66852864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 66852864000 in words is "sixty-six billion, eight hundred fifty-two million, eight hundred sixty-four thousand".