66829126792 has 64 divisors (see below), whose sum is σ = 133714134000. Its totient is φ = 31252386816.

The previous prime is 66829126789. The next prime is 66829126799. The reversal of 66829126792 is 29762192866.

66829126792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 63355910436 + 3473216356 = 251706^2 + 58934^2 .

It is a super-2 number, since 2×66829126792² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is not an unprimeable number, because it can be changed into a prime (66829126799) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1948738 + ... + 1982734.

Almost surely, 2^66829126792 is an apocalyptic number.

It is an amenable number.

66829126792 is an abundant number, since it is smaller than the sum of its proper divisors (66885007208).

66829126792 is a wasteful number, since it uses less digits than its factorization.

66829126792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34298 (or 34294 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 58.

The spelling of 66829126792 in words is "sixty-six billion, eight hundred twenty-nine million, one hundred twenty-six thousand, seven hundred ninety-two".