172840868928 has 1008 divisors, whose sum is σ = 655165405440. Its totient is φ = 44771844096.

The previous prime is 172840868899. The next prime is 172840868983. The reversal of 172840868928 is 829868048271.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 723183433 + ... + 723183671.

It is an arithmetic number, because the mean of its divisors is an integer number (649965680).

Almost surely, 2^172840868928 is an apocalyptic number.

172840868928 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 172840868928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327582702720).

172840868928 is an abundant number, since it is smaller than the sum of its proper divisors (482324536512).

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

172840868928 is a wasteful number, since it uses less digits than its factorization.

172840868928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 172840868928 in words is "one hundred seventy-two billion, eight hundred forty million, eight hundred sixty-eight thousand, nine hundred twenty-eight".