66152663280 has 1280 divisors, whose sum is σ = 281124864000. Its totient is φ = 14108774400.

The previous prime is 66152663233. The next prime is 66152663281. The reversal of 66152663280 is 8236625166.

66152663280 is a `hidden beast` number, since 6 + 6 + 1 + 5 + 2 + 6 + 632 + 8 + 0 = 666.

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 (66152663281) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 405844479 + ... + 405844641.

It is an arithmetic number, because the mean of its divisors is an integer number (219628800).

Almost surely, 2^66152663280 is an apocalyptic number.

66152663280 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 66152663280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140562432000).

66152663280 is an abundant number, since it is smaller than the sum of its proper divisors (214972200720).

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

66152663280 is a wasteful number, since it uses less digits than its factorization.

66152663280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 66152663280 in words is "sixty-six billion, one hundred fifty-two million, six hundred sixty-three thousand, two hundred eighty".