7412549760 has 768 divisors, whose sum is σ = 33147878400. Its totient is φ = 1537781760.

The previous prime is 7412549759. The next prime is 7412549761. The reversal of 7412549760 is 679452147.

7412549760 is a `hidden beast` number, since 7 + 41 + 2 + 549 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (7412549759) and next prime (7412549761).

It is a super-3 number, since 3×7412549760³ (a number of 31 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (7412549761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11974731 + ... + 11975349.

It is an arithmetic number, because the mean of its divisors is an integer number (43161300).

Almost surely, 2^7412549760 is an apocalyptic number.

7412549760 is a gapful number since it is divisible by the number (70) 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 7412549760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16573939200).

7412549760 is an abundant number, since it is smaller than the sum of its proper divisors (25735328640).

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

7412549760 is a wasteful number, since it uses less digits than its factorization.

7412549760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 7412549760 is about 86096.1657682849. The cubic root of 7412549760 is about 1949.7961443699.

The spelling of 7412549760 in words is "seven billion, four hundred twelve million, five hundred forty-nine thousand, seven hundred sixty".