42213612672 has 1280 divisors, whose sum is σ = 173459404800. Its totient is φ = 9935861760.

The previous prime is 42213612643. The next prime is 42213612673. The reversal of 42213612672 is 27621631224.

42213612672 is a `hidden beast` number, since 4 + 22 + 13 + 612 + 6 + 7 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (48384) is a multiple of the sum of its prime factors (108).

It is not an unprimeable number, because it can be changed into a prime (42213612673) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1835374453 + ... + 1835374475.

It is an arithmetic number, because the mean of its divisors is an integer number (135515160).

Almost surely, 2^42213612672 is an apocalyptic number.

42213612672 is a gapful number since it is divisible by the number (42) 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 42213612672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86729702400).

42213612672 is an abundant number, since it is smaller than the sum of its proper divisors (131245792128).

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

42213612672 is a wasteful number, since it uses less digits than its factorization.

42213612672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 65 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The spelling of 42213612672 in words is "forty-two billion, two hundred thirteen million, six hundred twelve thousand, six hundred seventy-two".