31648621680 has 240 divisors, whose sum is σ = 118155937536. Its totient is φ = 7539056640.

The previous prime is 31648621679. The next prime is 31648621687. The reversal of 31648621680 is 8612684613.

31648621680 is a `hidden beast` number, since 3 + 1 + 6 + 486 + 2 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31648621687) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 235624 + ... + 344696.

Almost surely, 2^31648621680 is an apocalyptic number.

31648621680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31648621680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59077968768).

31648621680 is an abundant number, since it is smaller than the sum of its proper divisors (86507315856).

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

31648621680 is a wasteful number, since it uses less digits than its factorization.

31648621680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109136 (or 109127 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 31648621680 in words is "thirty-one billion, six hundred forty-eight million, six hundred twenty-one thousand, six hundred eighty".