80464029972480 has 6912 divisors, whose sum is σ = 409230749491200. Its totient is φ = 14662375833600.

The previous prime is 80464029972463. The next prime is 80464029972533. The reversal of 80464029972480 is 8427992046408.

80464029972480 is a `hidden beast` number, since 8 + 0 + 4 + 6 + 40 + 29 + 97 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2595613870065 + ... + 2595613870095.

It is an arithmetic number, because the mean of its divisors is an integer number (59205837600).

Almost surely, 2^{80464029972480} is an apocalyptic number.

80464029972480 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 80464029972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204615374745600).

80464029972480 is an abundant number, since it is smaller than the sum of its proper divisors (328766719518720).

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

80464029972480 is a wasteful number, since it uses less digits than its factorization.

80464029972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 80464029972480 in words is "eighty trillion, four hundred sixty-four billion, twenty-nine million, nine hundred seventy-two thousand, four hundred eighty".