80929682064 has 320 divisors, whose sum is σ = 290675681280. Its totient is φ = 20943982080.

The previous prime is 80929682059. The next prime is 80929682087. The reversal of 80929682064 is 46028692908.

It is a happy number.

It is a super-2 number, since 2×80929682064² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 80929682064.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9409414 + ... + 9418010.

It is an arithmetic number, because the mean of its divisors is an integer number (908361504).

Almost surely, 2^80929682064 is an apocalyptic number.

80929682064 is a gapful number since it is divisible by the number (84) 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 80929682064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145337840640).

80929682064 is an abundant number, since it is smaller than the sum of its proper divisors (209745999216).

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

80929682064 is a wasteful number, since it uses less digits than its factorization.

80929682064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8915 (or 8903 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 80929682064 in words is "eighty billion, nine hundred twenty-nine million, six hundred eighty-two thousand, sixty-four".