42652737792 has 324 divisors, whose sum is σ = 149316783616. Its totient is φ = 11468390400.

The previous prime is 42652737763. The next prime is 42652737797. The reversal of 42652737792 is 29773725624.

It is a happy number.

42652737792 is a `hidden beast` number, since 4 + 26 + 527 + 3 + 7 + 7 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (42652737797) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4656417 + ... + 4665567.

Almost surely, 2^42652737792 is an apocalyptic number.

42652737792 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 42652737792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74658391808).

42652737792 is an abundant number, since it is smaller than the sum of its proper divisors (106664045824).

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

42652737792 is a wasteful number, since it uses less digits than its factorization.

42652737792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9214 (or 9180 counting only the distinct ones).

The product of its digits is 8890560, while the sum is 54.

The spelling of 42652737792 in words is "forty-two billion, six hundred fifty-two million, seven hundred thirty-seven thousand, seven hundred ninety-two".