7478575104 has 576 divisors, whose sum is σ = 28185615360. Its totient is φ = 1698693120.

The previous prime is 7478575103. The next prime is 7478575121. The reversal of 7478575104 is 4015758747.

It is a super-2 number, since 2×7478575104² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7478575103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393609207 + ... + 393609225.

It is an arithmetic number, because the mean of its divisors is an integer number (48933360).

Almost surely, 2^7478575104 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 7478575104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14092807680).

7478575104 is an abundant number, since it is smaller than the sum of its proper divisors (20707040256).

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

7478575104 is a wasteful number, since it uses less digits than its factorization.

7478575104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 1097600, while the sum is 48.

The square root of 7478575104 is about 86478.7552176834. The cubic root of 7478575104 is about 1955.5681399864.

The spelling of 7478575104 in words is "seven billion, four hundred seventy-eight million, five hundred seventy-five thousand, one hundred four".