80664634080 has 240 divisors, whose sum is σ = 286118632800. Its totient is φ = 21401791488.

The previous prime is 80664634049. The next prime is 80664634091. The reversal of 80664634080 is 8043646608.

80664634080 is a `hidden beast` number, since 8 + 0 + 6 + 6 + 4 + 634 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2563402 + ... + 2594678.

It is an arithmetic number, because the mean of its divisors is an integer number (1192160970).

Almost surely, 2^80664634080 is an apocalyptic number.

80664634080 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 80664634080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143059316400).

80664634080 is an abundant number, since it is smaller than the sum of its proper divisors (205453998720).

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

80664634080 is a wasteful number, since it uses less digits than its factorization.

80664634080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31503 (or 31486 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 80664634080 in words is "eighty billion, six hundred sixty-four million, six hundred thirty-four thousand, eighty".