31447482768 has 400 divisors, whose sum is σ = 106540403200. Its totient is φ = 8868372480.

The previous prime is 31447482763. The next prime is 31447482769. The reversal of 31447482768 is 86728474413.

31447482768 is a `hidden beast` number, since 31 + 4 + 474 + 82 + 7 + 68 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (31447482763) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9921888 + ... + 9925056.

It is an arithmetic number, because the mean of its divisors is an integer number (266351008).

Almost surely, 2^31447482768 is an apocalyptic number.

31447482768 is a gapful number since it is divisible by the number (38) 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 31447482768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53270201600).

31447482768 is an abundant number, since it is smaller than the sum of its proper divisors (75092920432).

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

31447482768 is a wasteful number, since it uses less digits than its factorization.

31447482768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3252 (or 3237 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 31447482768 in words is "thirty-one billion, four hundred forty-seven million, four hundred eighty-two thousand, seven hundred sixty-eight".