31628691864 has 256 divisors, whose sum is σ = 110512512000. Its totient is φ = 8142059520.

The previous prime is 31628691859. The next prime is 31628691883. The reversal of 31628691864 is 46819682613.

31628691864 is a `hidden beast` number, since 3 + 1 + 628 + 6 + 9 + 1 + 8 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 31628691864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1871002 + ... + 1887830.

It is an arithmetic number, because the mean of its divisors is an integer number (431689500).

Almost surely, 2^31628691864 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 31628691864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55256256000).

31628691864 is an abundant number, since it is smaller than the sum of its proper divisors (78883820136).

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

31628691864 is a wasteful number, since it uses less digits than its factorization.

31628691864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16975 (or 16965 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 31628691864 in words is "thirty-one billion, six hundred twenty-eight million, six hundred ninety-one thousand, eight hundred sixty-four".