31673607587640 has 320 divisors, whose sum is σ = 107850298089600. Its totient is φ = 8336498946048.

The previous prime is 31673607587623. The next prime is 31673607587641. The reversal of 31673607587640 is 4678570637613.

It is a happy number.

31673607587640 is a `hidden beast` number, since 3 + 1 + 6 + 7 + 3 + 6 + 0 + 7 + 587 + 6 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31673607587641) 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, 87321694 + ... + 87683666.

It is an arithmetic number, because the mean of its divisors is an integer number (337032181530).

Almost surely, 2^{31673607587640} is an apocalyptic number.

31673607587640 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 31673607587640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53925149044800).

31673607587640 is an abundant number, since it is smaller than the sum of its proper divisors (76176690501960).

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

31673607587640 is a wasteful number, since it uses less digits than its factorization.

31673607587640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362348 (or 362335 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 31673607587640 in words is "thirty-one trillion, six hundred seventy-three billion, six hundred seven million, five hundred eighty-seven thousand, six hundred forty".