31663477440 has 672 divisors, whose sum is σ = 127811174400. Its totient is φ = 7046258688.

The previous prime is 31663477427. The next prime is 31663477451. The reversal of 31663477440 is 4477436613.

31663477440 is a `hidden beast` number, since 3 + 1 + 6 + 634 + 7 + 7 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 212506486 + ... + 212506634.

It is an arithmetic number, because the mean of its divisors is an integer number (190195200).

Almost surely, 2^31663477440 is an apocalyptic number.

31663477440 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 31663477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63905587200).

31663477440 is an abundant number, since it is smaller than the sum of its proper divisors (96147696960).

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

31663477440 is a wasteful number, since it uses less digits than its factorization.

31663477440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 31663477440 in words is "thirty-one billion, six hundred sixty-three million, four hundred seventy-seven thousand, four hundred forty".