7478191440 has 240 divisors, whose sum is σ = 25615789056. Its totient is φ = 1954713600.

The previous prime is 7478191417. The next prime is 7478191451. The reversal of 7478191440 is 441918747.

It is a happy number.

7478191440 is a `hidden beast` number, since 7 + 47 + 81 + 91 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 12319617 + ... + 12320223.

Almost surely, 2^7478191440 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 7478191440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12807894528).

7478191440 is an abundant number, since it is smaller than the sum of its proper divisors (18137597616).

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

7478191440 is a wasteful number, since it uses less digits than its factorization.

7478191440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 7478191440 is about 86476.5369334365. The cubic root of 7478191440 is about 1955.5346980577.

The spelling of 7478191440 in words is "seven billion, four hundred seventy-eight million, one hundred ninety-one thousand, four hundred forty".