31003640640 has 1008 divisors, whose sum is σ = 135152709120. Its totient is φ = 6479585280.

The previous prime is 31003640627. The next prime is 31003640641. The reversal of 31003640640 is 4604630013.

31003640640 is a `hidden beast` number, since 3 + 10 + 0 + 3 + 6 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×31003640640² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31003640641) 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 143 ways as a sum of consecutive naturals, for example, 83119494 + ... + 83119866.

Almost surely, 2^31003640640 is an apocalyptic number.

31003640640 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 31003640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67576354560).

31003640640 is an abundant number, since it is smaller than the sum of its proper divisors (104149068480).

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

31003640640 is a wasteful number, since it uses less digits than its factorization.

31003640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 31003640640 in words is "thirty-one billion, three million, six hundred forty thousand, six hundred forty".