66756051 has 48 divisors (see below), whose sum is σ = 105910272. Its totient is φ = 40392000.

The previous prime is 66756047. The next prime is 66756061. The reversal of 66756051 is 15065766.

It is a happy number.

It is not a de Polignac number, because 66756051 - 2² = 66756047 is a prime.

It is a super-2 number, since 2×66756051² = 8912740690229202, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66755997 and 66756015.

It is not an unprimeable number, because it can be changed into a prime (66756031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 648066 + ... + 648168.

It is an arithmetic number, because the mean of its divisors is an integer number (2206464).

Almost surely, 2^66756051 is an apocalyptic number.

66756051 is a deficient number, since it is larger than the sum of its proper divisors (39154221).

66756051 is a wasteful number, since it uses less digits than its factorization.

66756051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 66756051 is about 8170.4376259782. The cubic root of 66756051 is about 405.6612699652.

The spelling of 66756051 in words is "sixty-six million, seven hundred fifty-six thousand, fifty-one".