172767383040 has 960 divisors, whose sum is σ = 687640631040. Its totient is φ = 36787322880.

The previous prime is 172767383023. The next prime is 172767383053. The reversal of 172767383040 is 40383767271.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 521955675 + ... + 521956005.

It is an arithmetic number, because the mean of its divisors is an integer number (716292324).

Almost surely, 2^172767383040 is an apocalyptic number.

172767383040 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 172767383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343820315520).

172767383040 is an abundant number, since it is smaller than the sum of its proper divisors (514873248000).

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

172767383040 is a wasteful number, since it uses less digits than its factorization.

172767383040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The spelling of 172767383040 in words is "one hundred seventy-two billion, seven hundred sixty-seven million, three hundred eighty-three thousand, forty".