66795840 has 168 divisors, whose sum is σ = 238536480. Its totient is φ = 17791488.

The previous prime is 66795829. The next prime is 66795853. The reversal of 66795840 is 4859766.

66795840 is a `hidden beast` number, since 6 + 67 + 9 + 584 + 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 23 ways as a sum of consecutive naturals, for example, 77331 + ... + 78189.

It is an arithmetic number, because the mean of its divisors is an integer number (1419860).

Almost surely, 2^66795840 is an apocalyptic number.

66795840 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 66795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119268240).

66795840 is an abundant number, since it is smaller than the sum of its proper divisors (171740640).

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

66795840 is an equidigital number, since it uses as much as digits as its factorization.

66795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 66795840 is about 8172.8722001509. The cubic root of 66795840 is about 405.7418501785.

The spelling of 66795840 in words is "sixty-six million, seven hundred ninety-five thousand, eight hundred forty".