80923328640 has 1920 divisors, whose sum is σ = 386077507200. Its totient is φ = 15765995520.

The previous prime is 80923328627. The next prime is 80923328641. The reversal of 80923328640 is 4682332908.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80923328641) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 834261072 + ... + 834261168.

It is an arithmetic number, because the mean of its divisors is an integer number (201082035).

Almost surely, 2^80923328640 is an apocalyptic number.

80923328640 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 80923328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193038753600).

80923328640 is an abundant number, since it is smaller than the sum of its proper divisors (305154178560).

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

80923328640 is a wasteful number, since it uses less digits than its factorization.

80923328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 80923328640 in words is "eighty billion, nine hundred twenty-three million, three hundred twenty-eight thousand, six hundred forty".