177973728768 has 240 divisors, whose sum is σ = 581096932416. Its totient is φ = 53931018240.

The previous prime is 177973728733. The next prime is 177973728791. The reversal of 177973728768 is 867827379771.

177973728768 is a `hidden beast` number, since 177 + 9 + 7 + 372 + 87 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 177973728696 and 177973728705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1303555 + ... + 1433597.

Almost surely, 2^177973728768 is an apocalyptic number.

177973728768 is a gapful number since it is divisible by the number (18) 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 177973728768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290548466208).

177973728768 is an abundant number, since it is smaller than the sum of its proper divisors (403123203648).

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

177973728768 is an equidigital number, since it uses as much as digits as its factorization.

177973728768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130087 (or 130059 counting only the distinct ones).

The product of its digits is 348509952, while the sum is 72.

The spelling of 177973728768 in words is "one hundred seventy-seven billion, nine hundred seventy-three million, seven hundred twenty-eight thousand, seven hundred sixty-eight".