31677079680 has 384 divisors, whose sum is σ = 118869004800. Its totient is φ = 7743651840.

The previous prime is 31677079673. The next prime is 31677079691. The reversal of 31677079680 is 8697077613.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3387972 + ... + 3397308.

It is an arithmetic number, because the mean of its divisors is an integer number (309554700).

Almost surely, 2^31677079680 is an apocalyptic number.

31677079680 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 31677079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59434502400).

31677079680 is an abundant number, since it is smaller than the sum of its proper divisors (87191925120).

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

31677079680 is a wasteful number, since it uses less digits than its factorization.

31677079680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9412 (or 9397 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 31677079680 in words is "thirty-one billion, six hundred seventy-seven million, seventy-nine thousand, six hundred eighty".