7468104600 has 576 divisors, whose sum is σ = 29526681600. Its totient is φ = 1675872000.

The previous prime is 7468104557. The next prime is 7468104601. The reversal of 7468104600 is 64018647.

7468104600 is a `hidden beast` number, since 7 + 46 + 8 + 1 + 0 + 4 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7468104601) 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 143 ways as a sum of consecutive naturals, for example, 240906585 + ... + 240906615.

It is an arithmetic number, because the mean of its divisors is an integer number (51261600).

Almost surely, 2^7468104600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7468104600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14763340800).

7468104600 is an abundant number, since it is smaller than the sum of its proper divisors (22058577000).

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

7468104600 is a wasteful number, since it uses less digits than its factorization.

7468104600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7468104600 is about 86418.1960006109. The cubic root of 7468104600 is about 1954.6550717879.

The spelling of 7468104600 in words is "seven billion, four hundred sixty-eight million, one hundred four thousand, six hundred".