7410955968 has 168 divisors, whose sum is σ = 23059266048. Its totient is φ = 2262048768.

The previous prime is 7410955967. The next prime is 7410955999. The reversal of 7410955968 is 8695590147.

7410955968 is a `hidden beast` number, since 7 + 41 + 0 + 9 + 5 + 596 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (7410955967) 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 23 ways as a sum of consecutive naturals, for example, 947080 + ... + 954872.

It is an arithmetic number, because the mean of its divisors is an integer number (137257536).

Almost surely, 2^7410955968 is an apocalyptic number.

7410955968 is a gapful number since it is divisible by the number (78) 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 7410955968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11529633024).

7410955968 is an abundant number, since it is smaller than the sum of its proper divisors (15648310080).

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

7410955968 is a wasteful number, since it uses less digits than its factorization.

7410955968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7951 (or 7938 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The square root of 7410955968 is about 86086.9093881294. The cubic root of 7410955968 is about 1949.6563907383.

The spelling of 7410955968 in words is "seven billion, four hundred ten million, nine hundred fifty-five thousand, nine hundred sixty-eight".