66797153280 has 1408 divisors, whose sum is σ = 290523340800. Its totient is φ = 14332723200.

The previous prime is 66797153263. The next prime is 66797153303. The reversal of 66797153280 is 8235179766.

It is a tau number, because it is divible by the number of its divisors (1408).

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 612817866 + ... + 612817974.

It is an arithmetic number, because the mean of its divisors is an integer number (206337600).

Almost surely, 2^66797153280 is an apocalyptic number.

66797153280 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 66797153280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145261670400).

66797153280 is an abundant number, since it is smaller than the sum of its proper divisors (223726187520).

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

66797153280 is a wasteful number, since it uses less digits than its factorization.

66797153280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 66797153280 in words is "sixty-six billion, seven hundred ninety-seven million, one hundred fifty-three thousand, two hundred eighty".