42084620604 has 96 divisors (see below), whose sum is σ = 117556488000. Its totient is φ = 12943024128.

The previous prime is 42084620603. The next prime is 42084620629. The reversal of 42084620604 is 40602648024.

It is a happy number.

42084620604 is a `hidden beast` number, since 4 + 2 + 0 + 8 + 46 + 2 + 0 + 604 = 666.

It is a super-2 number, since 2×42084620604² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42084620603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3657292 + ... + 3668780.

It is an arithmetic number, because the mean of its divisors is an integer number (1224546750).

Almost surely, 2^42084620604 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 42084620604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58778244000).

42084620604 is an abundant number, since it is smaller than the sum of its proper divisors (75471867396).

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

42084620604 is a wasteful number, since it uses less digits than its factorization.

42084620604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14124 (or 14116 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 42084620604 in words is "forty-two billion, eighty-four million, six hundred twenty thousand, six hundred four".