7410628368 has 720 divisors, whose sum is σ = 27186831360. Its totient is φ = 1860019200.

The previous prime is 7410628327. The next prime is 7410628373. The reversal of 7410628368 is 8638260147.

7410628368 is a `hidden beast` number, since 7 + 4 + 10 + 628 + 3 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 157672921 + ... + 157672967.

It is an arithmetic number, because the mean of its divisors is an integer number (37759488).

Almost surely, 2^7410628368 is an apocalyptic number.

7410628368 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 7410628368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13593415680).

7410628368 is an abundant number, since it is smaller than the sum of its proper divisors (19776202992).

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

7410628368 is a wasteful number, since it uses less digits than its factorization.

7410628368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 7410628368 is about 86085.0066387870. The cubic root of 7410628368 is about 1949.6276622428.

The spelling of 7410628368 in words is "seven billion, four hundred ten million, six hundred twenty-eight thousand, three hundred sixty-eight".