6624878457600 has 1728 divisors, whose sum is σ = 28297368852480. Its totient is φ = 1501750886400.

The previous prime is 6624878457577. The next prime is 6624878457611. The reversal of 6624878457600 is 67548784266.

6624878457600 is a `hidden beast` number, since 6 + 6 + 2 + 487 + 84 + 5 + 76 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1794871755 + ... + 1794875445.

It is an arithmetic number, because the mean of its divisors is an integer number (16375792160).

Almost surely, 2^{6624878457600} is an apocalyptic number.

6624878457600 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 6624878457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14148684426240).

6624878457600 is an abundant number, since it is smaller than the sum of its proper divisors (21672490394880).

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

6624878457600 is a wasteful number, since it uses less digits than its factorization.

6624878457600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3803 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 6624878457600 in words is "six trillion, six hundred twenty-four billion, eight hundred seventy-eight million, four hundred fifty-seven thousand, six hundred".