7408116768 has 48 divisors (see below), whose sum is σ = 20942179776. Its totient is φ = 2279420160.

The previous prime is 7408116761. The next prime is 7408116797. The reversal of 7408116768 is 8676118047.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (7408116761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2966748 + ... + 2969243.

It is an arithmetic number, because the mean of its divisors is an integer number (436295412).

Almost surely, 2^7408116768 is an apocalyptic number.

7408116768 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

7408116768 is an abundant number, since it is smaller than the sum of its proper divisors (13534063008).

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

7408116768 is a wasteful number, since it uses less digits than its factorization.

7408116768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5936017 (or 5936009 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The square root of 7408116768 is about 86070.4174963733. The cubic root of 7408116768 is about 1949.4073823110.

The spelling of 7408116768 in words is "seven billion, four hundred eight million, one hundred sixteen thousand, seven hundred sixty-eight".