66022019481600 has 4320 divisors, whose sum is σ = 318529464476160. Its totient is φ = 13052757934080.

The previous prime is 66022019481589. The next prime is 66022019481601. The reversal of 66022019481600 is 618491022066.

66022019481600 is a `hidden beast` number, since 6 + 6 + 0 + 2 + 20 + 19 + 4 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is not an unprimeable number, because it can be changed into a prime (66022019481601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 290845900687 + ... + 290845900913.

Almost surely, 2^{66022019481600} is an apocalyptic number.

66022019481600 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 66022019481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159264732238080).

66022019481600 is an abundant number, since it is smaller than the sum of its proper divisors (252507444994560).

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

66022019481600 is a wasteful number, since it uses less digits than its factorization.

66022019481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 66022019481600 in words is "sixty-six trillion, twenty-two billion, nineteen million, four hundred eighty-one thousand, six hundred".