66802835484 has 576 divisors, whose sum is σ = 230221135872. Its totient is φ = 16422912000.

The previous prime is 66802835483. The next prime is 66802835543. The reversal of 66802835484 is 48453820866.

66802835484 is a `hidden beast` number, since 6 + 6 + 80 + 2 + 83 + 5 + 484 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 66802835484.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66802835483) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 259933084 + ... + 259933340.

It is an arithmetic number, because the mean of its divisors is an integer number (399689472).

Almost surely, 2^66802835484 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 66802835484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115110567936).

66802835484 is an abundant number, since it is smaller than the sum of its proper divisors (163418300388).

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

66802835484 is a wasteful number, since it uses less digits than its factorization.

66802835484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 66802835484 in words is "sixty-six billion, eight hundred two million, eight hundred thirty-five thousand, four hundred eighty-four".