42696629820 has 768 divisors, whose sum is σ = 159776064000. Its totient is φ = 9419784192.

The previous prime is 42696629813. The next prime is 42696629821. The reversal of 42696629820 is 2892669624.

It is a happy number.

42696629820 is a `hidden beast` number, since 4 + 2 + 6 + 9 + 6 + 629 + 8 + 2 + 0 = 666.

It is a super-2 number, since 2×42696629820² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42696629821) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 584885304 + ... + 584885376.

It is an arithmetic number, because the mean of its divisors is an integer number (208041750).

Almost surely, 2^42696629820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42696629820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79888032000).

42696629820 is an abundant number, since it is smaller than the sum of its proper divisors (117079434180).

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

42696629820 is a wasteful number, since it uses less digits than its factorization.

42696629820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 42696629820 in words is "forty-two billion, six hundred ninety-six million, six hundred twenty-nine thousand, eight hundred twenty".