80144640000 has 600 divisors, whose sum is σ = 299523754530. Its totient is φ = 21344256000.

The previous prime is 80144639963. The next prime is 80144640049. The reversal of 80144640000 is 4644108.

80144640000 is a `hidden beast` number, since 8 + 0 + 14 + 4 + 640 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 1941636096 + 78203003904 = 44064^2 + 279648^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 103679614 + ... + 103680386.

Almost surely, 2^80144640000 is an apocalyptic number.

80144640000 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 80144640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149761877265).

80144640000 is an abundant number, since it is smaller than the sum of its proper divisors (219379114530).

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

80144640000 is an frugal number, since it uses more digits than its factorization.

80144640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 80144640000 in words is "eighty billion, one hundred forty-four million, six hundred forty thousand".