8296949760 has 384 divisors, whose sum is σ = 29682132480. Its totient is φ = 1961164800.

The previous prime is 8296949747. The next prime is 8296949783. The reversal of 8296949760 is 679496928.

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

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 8296949694 and 8296949703.

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 31 ways as a sum of consecutive naturals, for example, 14530275 + ... + 14530845.

It is an arithmetic number, because the mean of its divisors is an integer number (77297220).

Almost surely, 2^8296949760 is an apocalyptic number.

8296949760 is a gapful number since it is divisible by the number (80) 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 8296949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14841066240).

8296949760 is an abundant number, since it is smaller than the sum of its proper divisors (21385182720).

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

8296949760 is a wasteful number, since it uses less digits than its factorization.

8296949760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 60.

The square root of 8296949760 is about 91087.5938863246. The cubic root of 8296949760 is about 2024.4457974326.

The spelling of 8296949760 in words is "eight billion, two hundred ninety-six million, nine hundred forty-nine thousand, seven hundred sixty".