31677200064 has 672 divisors, whose sum is σ = 106509312000. Its totient is φ = 9287156736.

The previous prime is 31677200063. The next prime is 31677200069. The reversal of 31677200064 is 46000277613.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (31677200063) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 400977177 + ... + 400977255.

It is an arithmetic number, because the mean of its divisors is an integer number (158496000).

Almost surely, 2^31677200064 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 31677200064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53254656000).

31677200064 is an abundant number, since it is smaller than the sum of its proper divisors (74832111936).

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

31677200064 is a wasteful number, since it uses less digits than its factorization.

31677200064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

Adding to 31677200064 its reverse (46000277613), we get a palindrome (77677477677).

The spelling of 31677200064 in words is "thirty-one billion, six hundred seventy-seven million, two hundred thousand, sixty-four".