42629604864 has 720 divisors, whose sum is σ = 150888342528. Its totient is φ = 10644480000.

The previous prime is 42629604779. The next prime is 42629604869. The reversal of 42629604864 is 46840692624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42629604869) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 282315189 + ... + 282315339.

Almost surely, 2^42629604864 is an apocalyptic number.

42629604864 is a gapful number since it is divisible by the number (44) 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 42629604864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75444171264).

42629604864 is an abundant number, since it is smaller than the sum of its proper divisors (108258737664).

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

42629604864 is a wasteful number, since it uses less digits than its factorization.

42629604864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 51.

The spelling of 42629604864 in words is "forty-two billion, six hundred twenty-nine million, six hundred four thousand, eight hundred sixty-four".