6625152000 has 616 divisors, whose sum is σ = 25130151072. Its totient is φ = 1741824000.

The previous prime is 6625151947. The next prime is 6625152013. The reversal of 6625152000 is 2515266.

6625152000 is a `hidden beast` number, since 6 + 625 + 15 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 93311965 + ... + 93312035.

Almost surely, 2^6625152000 is an apocalyptic number.

6625152000 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 6625152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12565075536).

6625152000 is an abundant number, since it is smaller than the sum of its proper divisors (18504999072).

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

6625152000 is an frugal number, since it uses more digits than its factorization.

6625152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 6625152000 is about 81395.0367037205. The cubic root of 6625152000 is about 1878.1572406594.

Adding to 6625152000 its reverse (2515266), we get a palindrome (6627667266).

The spelling of 6625152000 in words is "six billion, six hundred twenty-five million, one hundred fifty-two thousand".