51742614672 has 800 divisors, whose sum is σ = 190562803200. Its totient is φ = 13493329920.

The previous prime is 51742614659. The next prime is 51742614673. The reversal of 51742614672 is 27641624715.

51742614672 is a `hidden beast` number, since 5 + 17 + 426 + 146 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51742614673) 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, 309835933 + ... + 309836099.

It is an arithmetic number, because the mean of its divisors is an integer number (238203504).

Almost surely, 2^51742614672 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 51742614672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95281401600).

51742614672 is an abundant number, since it is smaller than the sum of its proper divisors (138820188528).

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

51742614672 is a wasteful number, since it uses less digits than its factorization.

51742614672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 237 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The spelling of 51742614672 in words is "fifty-one billion, seven hundred forty-two million, six hundred fourteen thousand, six hundred seventy-two".