80006172480 has 672 divisors, whose sum is σ = 315563792544. Its totient is φ = 18430820352.

The previous prime is 80006172479. The next prime is 80006172481. The reversal of 80006172480 is 8427160008.

80006172480 is a `hidden beast` number, since 8 + 0 + 0 + 0 + 6 + 172 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (80006172479) and next prime (80006172481).

It can be written as a sum of positive squares in 16 ways, for example, as 26189596224 + 53816576256 = 161832^2 + 231984^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80006172481) 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, 214493574 + ... + 214493946.

It is an arithmetic number, because the mean of its divisors is an integer number (469588977).

Almost surely, 2^80006172480 is an apocalyptic number.

80006172480 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 80006172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157781896272).

80006172480 is an abundant number, since it is smaller than the sum of its proper divisors (235557620064).

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

80006172480 is a wasteful number, since it uses less digits than its factorization.

80006172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 80006172480 in words is "eighty billion, six million, one hundred seventy-two thousand, four hundred eighty".