15984967680 has 720 divisors, whose sum is σ = 63548057664. Its totient is φ = 3822059520.

The previous prime is 15984967679. The next prime is 15984967693. The reversal of 15984967680 is 8676948951.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

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, 218972124 + ... + 218972196.

Almost surely, 2^15984967680 is an apocalyptic number.

15984967680 is a gapful number since it is divisible by the number (10) 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 15984967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31774028832).

15984967680 is an abundant number, since it is smaller than the sum of its proper divisors (47563089984).

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

15984967680 is an frugal number, since it uses more digits than its factorization.

15984967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

It can be divided in two parts, 159849 and 67680, that added together give a square (227529 = 477²).

The spelling of 15984967680 in words is "fifteen billion, nine hundred eighty-four million, nine hundred sixty-seven thousand, six hundred eighty".