7478754624 has 168 divisors, whose sum is σ = 24251948448. Its totient is φ = 2266237440.

The previous prime is 7478754623. The next prime is 7478754637. The reversal of 7478754624 is 4264578747.

7478754624 is a `hidden beast` number, since 7 + 4 + 7 + 8 + 7 + 5 + 4 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7478754623) 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, 149214 + ... + 192930.

It is an arithmetic number, because the mean of its divisors is an integer number (144356836).

Almost surely, 2^7478754624 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 7478754624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12125974224).

7478754624 is an abundant number, since it is smaller than the sum of its proper divisors (16773193824).

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

7478754624 is a wasteful number, since it uses less digits than its factorization.

7478754624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43755 (or 43733 counting only the distinct ones).

The product of its digits is 10536960, while the sum is 54.

The square root of 7478754624 is about 86479.7931542392. The cubic root of 7478754624 is about 1955.5837873870.

The spelling of 7478754624 in words is "seven billion, four hundred seventy-eight million, seven hundred fifty-four thousand, six hundred twenty-four".