80668646400 has 396 divisors, whose sum is σ = 275744017176. Its totient is φ = 20798668800.

The previous prime is 80668646393. The next prime is 80668646411. The reversal of 80668646400 is 464686608.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 80668646400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 73804254 + ... + 73805346.

Almost surely, 2^80668646400 is an apocalyptic number.

80668646400 is a gapful number since it is divisible by the number (80) 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 80668646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137872008588).

80668646400 is an abundant number, since it is smaller than the sum of its proper divisors (195075370776).

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

80668646400 is a wasteful number, since it uses less digits than its factorization.

80668646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 80668646400 in words is "eighty billion, six hundred sixty-eight million, six hundred forty-six thousand, four hundred".