172263640640 has 224 divisors, whose sum is σ = 505364154624. Its totient is φ = 54464716800.

The previous prime is 172263640609. The next prime is 172263640667. The reversal of 172263640640 is 46046362271.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×172263640640³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37882847 + ... + 37887393.

It is an arithmetic number, because the mean of its divisors is an integer number (2256089976).

Almost surely, 2^172263640640 is an apocalyptic number.

172263640640 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 172263640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252682077312).

172263640640 is an abundant number, since it is smaller than the sum of its proper divisors (333100513984).

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

172263640640 is a wasteful number, since it uses less digits than its factorization.

172263640640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5885 (or 5875 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 41.

The spelling of 172263640640 in words is "one hundred seventy-two billion, two hundred sixty-three million, six hundred forty thousand, six hundred forty".