66733875 has 96 divisors (see below), whose sum is σ = 135145920. Its totient is φ = 32853600.

The previous prime is 66733861. The next prime is 66733967. The reversal of 66733875 is 57833766.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 66733875 - 2⁶ = 66733811 is a prime.

It is a super-3 number, since 3×66733875³ (a number of 24 digits) contains 333 as substring.

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

Its product of digits (635040) is a multiple of the sum of its prime divisors (21).

It is a self number, because there is not a number n which added to its sum of digits gives 66733875.

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, 5133369 + ... + 5133381.

It is an arithmetic number, because the mean of its divisors is an integer number (1407770).

Almost surely, 2^66733875 is an apocalyptic number.

66733875 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

66733875 is an abundant number, since it is smaller than the sum of its proper divisors (68412045).

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

66733875 is an frugal number, since it uses more digits than its factorization.

66733875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 21 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 66733875 is about 8169.0804256048. The cubic root of 66733875 is about 405.6163454951.

The spelling of 66733875 in words is "sixty-six million, seven hundred thirty-three thousand, eight hundred seventy-five".