66928055040 has 864 divisors, whose sum is σ = 290926411776. Its totient is φ = 13800407040.

The previous prime is 66928055039. The next prime is 66928055083. The reversal of 66928055040 is 4055082966.

66928055040 is a `hidden beast` number, since 6 + 6 + 92 + 8 + 0 + 550 + 4 + 0 = 666.

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

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, 174746689 + ... + 174747071.

It is an arithmetic number, because the mean of its divisors is an integer number (336720384).

Almost surely, 2^66928055040 is an apocalyptic number.

66928055040 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 66928055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145463205888).

66928055040 is an abundant number, since it is smaller than the sum of its proper divisors (223998356736).

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

66928055040 is a wasteful number, since it uses less digits than its factorization.

66928055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 66928055040 in words is "sixty-six billion, nine hundred twenty-eight million, fifty-five thousand, forty".