80632566720 has 672 divisors, whose sum is σ = 310318464960. Its totient is φ = 19641139200.

The previous prime is 80632566701. The next prime is 80632566727. The reversal of 80632566720 is 2766523608.

It is a happy number.

80632566720 is a `hidden beast` number, since 8 + 0 + 63 + 2 + 566 + 7 + 20 = 666.

It is a super-2 number, since 2×80632566720² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80632566727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 201078520 + ... + 201078920.

It is an arithmetic number, because the mean of its divisors is an integer number (461783430).

Almost surely, 2^80632566720 is an apocalyptic number.

80632566720 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 80632566720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155159232480).

80632566720 is an abundant number, since it is smaller than the sum of its proper divisors (229685898240).

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

80632566720 is a wasteful number, since it uses less digits than its factorization.

80632566720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 80632566720 in words is "eighty billion, six hundred thirty-two million, five hundred sixty-six thousand, seven hundred twenty".