6987387600 has 720 divisors, whose sum is σ = 27632517120. Its totient is φ = 1625702400.

The previous prime is 6987387559. The next prime is 6987387601. The reversal of 6987387600 is 67837896.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6987387601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55018737 + ... + 55018863.

It is an arithmetic number, because the mean of its divisors is an integer number (38378496).

Almost surely, 2^6987387600 is an apocalyptic number.

6987387600 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 6987387600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13816258560).

6987387600 is an abundant number, since it is smaller than the sum of its proper divisors (20645129520).

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

6987387600 is a wasteful number, since it uses less digits than its factorization.

6987387600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 6987387600 is about 83590.5951647672. The cubic root of 6987387600 is about 1911.7816038195.

The spelling of 6987387600 in words is "six billion, nine hundred eighty-seven million, three hundred eighty-seven thousand, six hundred".