31756628064 has 192 divisors, whose sum is σ = 97877445120. Its totient is φ = 8826286080.

The previous prime is 31756628017. The next prime is 31756628069. The reversal of 31756628064 is 46082665713.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31756628069) 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 31 ways as a sum of consecutive naturals, for example, 10716247 + ... + 10719209.

It is an arithmetic number, because the mean of its divisors is an integer number (509778360).

Almost surely, 2^31756628064 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 31756628064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48938722560).

31756628064 is an abundant number, since it is smaller than the sum of its proper divisors (66120817056).

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

31756628064 is a wasteful number, since it uses less digits than its factorization.

31756628064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3413 (or 3405 counting only the distinct ones).

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

The spelling of 31756628064 in words is "thirty-one billion, seven hundred fifty-six million, six hundred twenty-eight thousand, sixty-four".