172007936640 has 1024 divisors, whose sum is σ = 680260032000. Its totient is φ = 40874803200.

The previous prime is 172007936593. The next prime is 172007936641. The reversal of 172007936640 is 46639700271.

172007936640 is a `hidden beast` number, since 17 + 200 + 79 + 366 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (172007936641) 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 127 ways as a sum of consecutive naturals, for example, 519661275 + ... + 519661605.

Almost surely, 2^172007936640 is an apocalyptic number.

172007936640 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 172007936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340130016000).

172007936640 is an abundant number, since it is smaller than the sum of its proper divisors (508252095360).

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

172007936640 is a wasteful number, since it uses less digits than its factorization.

172007936640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 172007936640 in words is "one hundred seventy-two billion, seven million, nine hundred thirty-six thousand, six hundred forty".