6625953600 has 672 divisors, whose sum is σ = 26668293120. Its totient is φ = 1406730240.

The previous prime is 6625953571. The next prime is 6625953637. The reversal of 6625953600 is 63595266.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×6625953600² = 87806522218705920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 61924747 + ... + 61924853.

It is an arithmetic number, because the mean of its divisors is an integer number (39684960).

Almost surely, 2^6625953600 is an apocalyptic number.

6625953600 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 6625953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13334146560).

6625953600 is an abundant number, since it is smaller than the sum of its proper divisors (20042339520).

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

6625953600 is a wasteful number, since it uses less digits than its factorization.

6625953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 42.

The square root of 6625953600 is about 81399.9606879512. The cubic root of 6625953600 is about 1878.2329858463.

The spelling of 6625953600 in words is "six billion, six hundred twenty-five million, nine hundred fifty-three thousand, six hundred".