172162007640 has 1152 divisors, whose sum is σ = 728895024000. Its totient is φ = 34947956736.

The previous prime is 172162007603. The next prime is 172162007659. The reversal of 172162007640 is 46700261271.

172162007640 is a `hidden beast` number, since 1 + 7 + 2 + 1 + 6 + 2 + 0 + 0 + 7 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 172162007595 and 172162007604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 751799046 + ... + 751799274.

It is an arithmetic number, because the mean of its divisors is an integer number (632721375).

Almost surely, 2^172162007640 is an apocalyptic number.

172162007640 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 172162007640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364447512000).

172162007640 is an abundant number, since it is smaller than the sum of its proper divisors (556733016360).

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

172162007640 is a wasteful number, since it uses less digits than its factorization.

172162007640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 172162007640 in words is "one hundred seventy-two billion, one hundred sixty-two million, seven thousand, six hundred forty".