7995686400 has 720 divisors, whose sum is σ = 32552760240. Its totient is φ = 1857945600.

The previous prime is 7995686383. The next prime is 7995686407. The reversal of 7995686400 is 46865997.

7995686400 is a `hidden beast` number, since 79 + 9 + 568 + 6 + 4 + 0 + 0 = 666.

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 (7995686407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28454260 + ... + 28454540.

It is an arithmetic number, because the mean of its divisors is an integer number (45212167).

Almost surely, 2^7995686400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7995686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16276380120).

7995686400 is an abundant number, since it is smaller than the sum of its proper divisors (24557073840).

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

7995686400 is a wasteful number, since it uses less digits than its factorization.

7995686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 7995686400 is about 89418.6020915111. The cubic root of 7995686400 is about 1999.6404687058.

The spelling of 7995686400 in words is "seven billion, nine hundred ninety-five million, six hundred eighty-six thousand, four hundred".