80347530795840 has 1344 divisors, whose sum is σ = 359117447270400. Its totient is φ = 16611447029760.

The previous prime is 80347530795761. The next prime is 80347530795893. The reversal of 80347530795840 is 4859703574308.

80347530795840 is a `hidden beast` number, since 8 + 0 + 3 + 4 + 7 + 530 + 7 + 9 + 58 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×80347530795840² (a number of 29 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1191482764 + ... + 1191550196.

It is an arithmetic number, because the mean of its divisors is an integer number (267200481600).

Almost surely, 2^{80347530795840} is an apocalyptic number.

80347530795840 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 80347530795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179558723635200).

80347530795840 is an abundant number, since it is smaller than the sum of its proper divisors (278769916474560).

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

80347530795840 is a wasteful number, since it uses less digits than its factorization.

80347530795840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67682 (or 67660 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 80347530795840 in words is "eighty trillion, three hundred forty-seven billion, five hundred thirty million, seven hundred ninety-five thousand, eight hundred forty".