7306449696 has 768 divisors, whose sum is σ = 28404633600. Its totient is φ = 1773674496.

The previous prime is 7306449653. The next prime is 7306449707. The reversal of 7306449696 is 6969446037.

7306449696 is a `hidden beast` number, since 7 + 3 + 0 + 64 + 496 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100088316 + ... + 100088388.

It is an arithmetic number, because the mean of its divisors is an integer number (36985200).

Almost surely, 2^7306449696 is an apocalyptic number.

7306449696 is a gapful number since it is divisible by the number (76) 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 7306449696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14202316800).

7306449696 is an abundant number, since it is smaller than the sum of its proper divisors (21098183904).

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

7306449696 is a wasteful number, since it uses less digits than its factorization.

7306449696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The square root of 7306449696 is about 85477.7731109088. The cubic root of 7306449696 is about 1940.4485532403.

It can be divided in two parts, 73064 and 49696, that added together give a triangular number (122760 = T₄₉₅).

The spelling of 7306449696 in words is "seven billion, three hundred six million, four hundred forty-nine thousand, six hundred ninety-six".