178779720672 has 576 divisors, whose sum is σ = 627033415680. Its totient is φ = 49380710400.

The previous prime is 178779720661. The next prime is 178779720697. The reversal of 178779720672 is 276027977871.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 220443147 + ... + 220443957.

It is an arithmetic number, because the mean of its divisors is an integer number (1088599680).

Almost surely, 2^178779720672 is an apocalyptic number.

178779720672 is a gapful number since it is divisible by the number (12) 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 178779720672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313516707840).

178779720672 is an abundant number, since it is smaller than the sum of its proper divisors (448253695008).

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

178779720672 is a wasteful number, since it uses less digits than its factorization.

178779720672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 29042496, while the sum is 63.

The spelling of 178779720672 in words is "one hundred seventy-eight billion, seven hundred seventy-nine million, seven hundred twenty thousand, six hundred seventy-two".