7763486016 has 224 divisors, whose sum is σ = 25553017728. Its totient is φ = 2043740160.

The previous prime is 7763486011. The next prime is 7763486063. The reversal of 7763486016 is 6106843677.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7763486011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458436 + ... + 475068.

It is an arithmetic number, because the mean of its divisors is an integer number (114075972).

Almost surely, 2^7763486016 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 7763486016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12776508864).

7763486016 is an abundant number, since it is smaller than the sum of its proper divisors (17789531712).

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

7763486016 is a wasteful number, since it uses less digits than its factorization.

7763486016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16689 (or 16679 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 7763486016 is about 88110.6464395762. The cubic root of 7763486016 is about 1980.0930147101.

The spelling of 7763486016 in words is "seven billion, seven hundred sixty-three million, four hundred eighty-six thousand, sixteen".