80736922506240 has 8448 divisors, whose sum is σ = 421522956288000. Its totient is φ = 14224431513600.

The previous prime is 80736922506223. The next prime is 80736922506307. The reversal of 80736922506240 is 4260522963708.

80736922506240 is a `hidden beast` number, since 8 + 0 + 7 + 3 + 6 + 9 + 2 + 2 + 5 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1368422415331 + ... + 1368422415389.

Almost surely, 2^{80736922506240} is an apocalyptic number.

80736922506240 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 80736922506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210761478144000).

80736922506240 is an abundant number, since it is smaller than the sum of its proper divisors (340786033781760).

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

80736922506240 is a wasteful number, since it uses less digits than its factorization.

80736922506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 80736922506240 in words is "eighty trillion, seven hundred thirty-six billion, nine hundred twenty-two million, five hundred six thousand, two hundred forty".