31272864480 has 1536 divisors, whose sum is σ = 140460687360. Its totient is φ = 6386688000.

The previous prime is 31272864479. The next prime is 31272864481. The reversal of 31272864480 is 8446827213.

It is a happy number.

31272864480 is a `hidden beast` number, since 3 + 127 + 2 + 86 + 448 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (31272864479) and next prime (31272864481).

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 (31272864481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 440462845 + ... + 440462915.

It is an arithmetic number, because the mean of its divisors is an integer number (91445760).

Almost surely, 2^31272864480 is an apocalyptic number.

31272864480 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 31272864480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70230343680).

31272864480 is an abundant number, since it is smaller than the sum of its proper divisors (109187822880).

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

31272864480 is a wasteful number, since it uses less digits than its factorization.

31272864480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 31272864480 in words is "thirty-one billion, two hundred seventy-two million, eight hundred sixty-four thousand, four hundred eighty".