391680000000 has 768 divisors, whose sum is σ = 1497573314640. Its totient is φ = 98304000000.

The previous prime is 391679999993. The next prime is 391680000007. The reversal of 391680000000 is 86193.

It is an interprime number because it is at equal distance from previous prime (391679999993) and next prime (391680000007).

It can be written as a sum of positive squares in 8 ways, for example, as 321679540224 + 70000459776 = 567168^2 + 264576^2 .

It is a tau number, because it is divible by the number of its divisors (768).

It is not an unprimeable number, because it can be changed into a prime (391680000007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23039999992 + ... + 23040000008.

Almost surely, 2^391680000000 is an apocalyptic number.

391680000000 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 391680000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748786657320).

391680000000 is an abundant number, since it is smaller than the sum of its proper divisors (1105893314640).

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

391680000000 is an frugal number, since it uses more digits than its factorization.

391680000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 391680000000 its reverse (86193), we get a palindrome (391680086193).

The spelling of 391680000000 in words is "three hundred ninety-one billion, six hundred eighty million", and thus it is an aban number.