31467828672 has 560 divisors, whose sum is σ = 114359984640. Its totient is φ = 8359262208.

The previous prime is 31467828659. The next prime is 31467828673. The reversal of 31467828672 is 27682876413.

31467828672 is a `hidden beast` number, since 31 + 467 + 8 + 2 + 86 + 72 = 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (31467828673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30880579 + ... + 30881597.

Almost surely, 2^31467828672 is an apocalyptic number.

31467828672 is a gapful number since it is divisible by the number (32) 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 31467828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57179992320).

31467828672 is an abundant number, since it is smaller than the sum of its proper divisors (82892155968).

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

31467828672 is a wasteful number, since it uses less digits than its factorization.

31467828672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1091 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 31467828672 in words is "thirty-one billion, four hundred sixty-seven million, eight hundred twenty-eight thousand, six hundred seventy-two".