51736342680 has 896 divisors, whose sum is σ = 202771261440. Its totient is φ = 11855289600.

The previous prime is 51736342663. The next prime is 51736342681. The reversal of 51736342680 is 8624363715.

51736342680 is a `hidden beast` number, since 5 + 1 + 7 + 3 + 634 + 2 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51736342681) 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 223 ways as a sum of consecutive naturals, for example, 1203170739 + ... + 1203170781.

Almost surely, 2^51736342680 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 51736342680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101385630720).

51736342680 is an abundant number, since it is smaller than the sum of its proper divisors (151034918760).

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

51736342680 is a wasteful number, since it uses less digits than its factorization.

51736342680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 95 counting only the distinct ones).

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

The spelling of 51736342680 in words is "fifty-one billion, seven hundred thirty-six million, three hundred forty-two thousand, six hundred eighty".