6629172480 has 216 divisors, whose sum is σ = 26213171712. Its totient is φ = 1515220992.

The previous prime is 6629172479. The next prime is 6629172509. The reversal of 6629172480 is 842719266.

It is a happy number.

6629172480 is a `hidden beast` number, since 6 + 629 + 17 + 2 + 4 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39537 + ... + 121743.

Almost surely, 2^6629172480 is an apocalyptic number.

6629172480 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 6629172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13106585856).

6629172480 is an abundant number, since it is smaller than the sum of its proper divisors (19583999232).

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

6629172480 is a wasteful number, since it uses less digits than its factorization.

6629172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82241 (or 82224 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6629172480 is about 81419.7302869519. The cubic root of 6629172480 is about 1878.5370843558.

The spelling of 6629172480 in words is "six billion, six hundred twenty-nine million, one hundred seventy-two thousand, four hundred eighty".