173412736640 has 512 divisors, whose sum is σ = 507051498240. Its totient is φ = 55862231040.

The previous prime is 173412736639. The next prime is 173412736649. The reversal of 173412736640 is 46637214371.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 173412736591 and 173412736600.

It is not an unprimeable number, because it can be changed into a prime (173412736649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 281057612 + ... + 281058228.

Almost surely, 2^173412736640 is an apocalyptic number.

173412736640 is a gapful number since it is divisible by the number (10) 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 173412736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253525749120).

173412736640 is an abundant number, since it is smaller than the sum of its proper divisors (333638761600).

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

173412736640 is a wasteful number, since it uses less digits than its factorization.

173412736640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 44.

The spelling of 173412736640 in words is "one hundred seventy-three billion, four hundred twelve million, seven hundred thirty-six thousand, six hundred forty".