80417777664 has 576 divisors, whose sum is σ = 263964355200. Its totient is φ = 21676032000.

The previous prime is 80417777617. The next prime is 80417777717. The reversal of 80417777664 is 46677771408.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 532567989 + ... + 532568139.

It is an arithmetic number, because the mean of its divisors is an integer number (458271450).

Almost surely, 2^80417777664 is an apocalyptic number.

80417777664 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 80417777664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131982177600).

80417777664 is an abundant number, since it is smaller than the sum of its proper divisors (183546577536).

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

80417777664 is a wasteful number, since it uses less digits than its factorization.

80417777664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 11063808, while the sum is 57.

The spelling of 80417777664 in words is "eighty billion, four hundred seventeen million, seven hundred seventy-seven thousand, six hundred sixty-four".