51679244640 has 192 divisors, whose sum is σ = 170277230592. Its totient is φ = 13150156800.

The previous prime is 51679244609. The next prime is 51679244647. The reversal of 51679244640 is 4644297615.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 51679244640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51679244647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4752810 + ... + 4763670.

It is an arithmetic number, because the mean of its divisors is an integer number (886860576).

Almost surely, 2^51679244640 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 51679244640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85138615296).

51679244640 is an abundant number, since it is smaller than the sum of its proper divisors (118597985952).

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

51679244640 is a wasteful number, since it uses less digits than its factorization.

51679244640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11333 (or 11325 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 51679244640 in words is "fifty-one billion, six hundred seventy-nine million, two hundred forty-four thousand, six hundred forty".