42654116736 has 384 divisors, whose sum is σ = 155334216960. Its totient is φ = 10912112640.

The previous prime is 42654116717. The next prime is 42654116741. The reversal of 42654116736 is 63761145624.

42654116736 is a `hidden beast` number, since 4 + 26 + 541 + 16 + 73 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 42654116691 and 42654116700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5939580 + ... + 5946756.

It is an arithmetic number, because the mean of its divisors is an integer number (404516190).

Almost surely, 2^42654116736 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 42654116736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77667108480).

42654116736 is an abundant number, since it is smaller than the sum of its proper divisors (112680100224).

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

42654116736 is a wasteful number, since it uses less digits than its factorization.

42654116736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7282 (or 7267 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 42654116736 in words is "forty-two billion, six hundred fifty-four million, one hundred sixteen thousand, seven hundred thirty-six".