80636424960 has 1152 divisors, whose sum is σ = 337568071680. Its totient is φ = 15941173248.

The previous prime is 80636424949. The next prime is 80636424961. The reversal of 80636424960 is 6942463608.

It is a super-2 number, since 2×80636424960² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (80636424961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 634932417 + ... + 634932543.

It is an arithmetic number, because the mean of its divisors is an integer number (293027840).

Almost surely, 2^80636424960 is an apocalyptic number.

80636424960 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 80636424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168784035840).

80636424960 is an abundant number, since it is smaller than the sum of its proper divisors (256931646720).

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

80636424960 is a wasteful number, since it uses less digits than its factorization.

80636424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 80636424960 in words is "eighty billion, six hundred thirty-six million, four hundred twenty-four thousand, nine hundred sixty".