7736408064 has 768 divisors, whose sum is σ = 30191616000. Its totient is φ = 1897758720.

The previous prime is 7736408063. The next prime is 7736408083. The reversal of 7736408064 is 4608046377.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7736408063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97929177 + ... + 97929255.

It is an arithmetic number, because the mean of its divisors is an integer number (39312000).

Almost surely, 2^7736408064 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 7736408064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15095808000).

7736408064 is an abundant number, since it is smaller than the sum of its proper divisors (22455207936).

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

7736408064 is a wasteful number, since it uses less digits than its factorization.

7736408064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 7736408064 is about 87956.8534225730. The cubic root of 7736408064 is about 1977.7882373371.

The spelling of 7736408064 in words is "seven billion, seven hundred thirty-six million, four hundred eight thousand, sixty-four".