51737658768 has 240 divisors, whose sum is σ = 158719841280. Its totient is φ = 16269973632.

The previous prime is 51737658751. The next prime is 51737658809. The reversal of 51737658768 is 86785673715.

51737658768 is a `hidden beast` number, since 5 + 17 + 37 + 6 + 587 + 6 + 8 = 666.

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, 19427005 + ... + 19429667.

It is an arithmetic number, because the mean of its divisors is an integer number (661332672).

Almost surely, 2^51737658768 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 51737658768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79359920640).

51737658768 is an abundant number, since it is smaller than the sum of its proper divisors (106982182512).

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

51737658768 is a wasteful number, since it uses less digits than its factorization.

51737658768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2968 (or 2950 counting only the distinct ones).

The product of its digits is 59270400, while the sum is 63.

The spelling of 51737658768 in words is "fifty-one billion, seven hundred thirty-seven million, six hundred fifty-eight thousand, seven hundred sixty-eight".