31668279720 has 384 divisors, whose sum is σ = 120101425920. Its totient is φ = 6538752000.

The previous prime is 31668279689. The next prime is 31668279751. The reversal of 31668279720 is 2797286613.

It is an interprime number because it is at equal distance from previous prime (31668279689) and next prime (31668279751).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17582820 + ... + 17584620.

It is an arithmetic number, because the mean of its divisors is an integer number (312764130).

Almost surely, 2^31668279720 is an apocalyptic number.

31668279720 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 31668279720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60050712960).

31668279720 is an abundant number, since it is smaller than the sum of its proper divisors (88433146200).

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

31668279720 is a wasteful number, since it uses less digits than its factorization.

31668279720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 31668279720 in words is "thirty-one billion, six hundred sixty-eight million, two hundred seventy-nine thousand, seven hundred twenty".