30671887680 has 504 divisors, whose sum is σ = 125260656768. Its totient is φ = 7007357952.

The previous prime is 30671887637. The next prime is 30671887681. The reversal of 30671887680 is 8678817603.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30671887681) 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 71 ways as a sum of consecutive naturals, for example, 14695597 + ... + 14697683.

Almost surely, 2^30671887680 is an apocalyptic number.

30671887680 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 30671887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62630328384).

30671887680 is an abundant number, since it is smaller than the sum of its proper divisors (94588769088).

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

30671887680 is an frugal number, since it uses more digits than its factorization.

30671887680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 30671887680 in words is "thirty billion, six hundred seventy-one million, eight hundred eighty-seven thousand, six hundred eighty".