31649476680 has 320 divisors, whose sum is σ = 108730987200. Its totient is φ = 8288904960.

The previous prime is 31649476637. The next prime is 31649476699. The reversal of 31649476680 is 8667494613.

31649476680 is a `hidden beast` number, since 3 + 1 + 6 + 494 + 76 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 48026191 + ... + 48026849.

It is an arithmetic number, because the mean of its divisors is an integer number (339784335).

Almost surely, 2^31649476680 is an apocalyptic number.

31649476680 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 31649476680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54365493600).

31649476680 is an abundant number, since it is smaller than the sum of its proper divisors (77081510520).

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

31649476680 is an frugal number, since it uses more digits than its factorization.

31649476680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 31649476680 in words is "thirty-one billion, six hundred forty-nine million, four hundred seventy-six thousand, six hundred eighty".