641172480 has 352 divisors, whose sum is σ = 2338492800. Its totient is φ = 149520384.

The previous prime is 641172463. The next prime is 641172481. The reversal of 641172480 is 84271146.

It is a super-3 number, since 3×641172480³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641172481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33745911 + ... + 33745929.

Almost surely, 2^641172480 is an apocalyptic number.

641172480 is a gapful number since it is divisible by the number (60) 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 641172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169246400).

641172480 is an abundant number, since it is smaller than the sum of its proper divisors (1697320320).

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

641172480 is a wasteful number, since it uses less digits than its factorization.

641172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 641172480 is about 25321.3838484392. The cubic root of 641172480 is about 862.2998115524.

The spelling of 641172480 in words is "six hundred forty-one million, one hundred seventy-two thousand, four hundred eighty".