66051363960 has 384 divisors, whose sum is σ = 231181516800. Its totient is φ = 16317987840.

The previous prime is 66051363953. The next prime is 66051363979. The reversal of 66051363960 is 6936315066.

66051363960 is a `hidden beast` number, since 6 + 6 + 0 + 5 + 1 + 3 + 639 + 6 + 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41101477 + ... + 41103083.

It is an arithmetic number, because the mean of its divisors is an integer number (602035200).

Almost surely, 2^66051363960 is an apocalyptic number.

66051363960 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 66051363960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115590758400).

66051363960 is an abundant number, since it is smaller than the sum of its proper divisors (165130152840).

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

66051363960 is a wasteful number, since it uses less digits than its factorization.

66051363960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 66051363960 in words is "sixty-six billion, fifty-one million, three hundred sixty-three thousand, nine hundred sixty".