7656201600 has 384 divisors, whose sum is σ = 27346999680. Its totient is φ = 1875148800.

The previous prime is 7656201577. The next prime is 7656201649. The reversal of 7656201600 is 61026567.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 7017055 + ... + 7018145.

It is an arithmetic number, because the mean of its divisors is an integer number (71216145).

Almost surely, 2^7656201600 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 7656201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13673499840).

7656201600 is an abundant number, since it is smaller than the sum of its proper divisors (19690798080).

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

7656201600 is a wasteful number, since it uses less digits than its factorization.

7656201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 7656201600 is about 87499.7234281343. The cubic root of 7656201600 is about 1970.9296375944.

The spelling of 7656201600 in words is "seven billion, six hundred fifty-six million, two hundred one thousand, six hundred".