51608320764 has 288 divisors, whose sum is σ = 165527212032. Its totient is φ = 12301632000.

The previous prime is 51608320697. The next prime is 51608320793. The reversal of 51608320764 is 46702380615.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15217509 + ... + 15220899.

It is an arithmetic number, because the mean of its divisors is an integer number (574747264).

Almost surely, 2^51608320764 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 51608320764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82763606016).

51608320764 is an abundant number, since it is smaller than the sum of its proper divisors (113918891268).

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

51608320764 is a wasteful number, since it uses less digits than its factorization.

51608320764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3617 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 51608320764 in words is "fifty-one billion, six hundred eight million, three hundred twenty thousand, seven hundred sixty-four".