80073629614368 has 288 divisors, whose sum is σ = 251549663929200. Its totient is φ = 24004285562880.

The previous prime is 80073629614367. The next prime is 80073629614397. The reversal of 80073629614368 is 86341692637008.

80073629614368 is a `hidden beast` number, since 8 + 0 + 0 + 7 + 3 + 6 + 2 + 9 + 614 + 3 + 6 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4523669579664 + 75549960034704 = 2126892^2 + 8691948^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×80073629614368⁴ (a number of 57 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (80073629614367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112162608 + ... + 112874256.

Almost surely, 2^{80073629614368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80073629614368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125774831964600).

80073629614368 is an abundant number, since it is smaller than the sum of its proper divisors (171476034314832).

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

80073629614368 is a wasteful number, since it uses less digits than its factorization.

80073629614368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712452 (or 712441 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 80073629614368 in words is "eighty trillion, seventy-three billion, six hundred twenty-nine million, six hundred fourteen thousand, three hundred sixty-eight".