7415009280 has 468 divisors, whose sum is σ = 29934926892. Its totient is φ = 1692794880.

The previous prime is 7415009249. The next prime is 7415009299. The reversal of 7415009280 is 829005147.

7415009280 is a `hidden beast` number, since 74 + 1 + 500 + 9 + 2 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2341011456 + 5073997824 = 48384^2 + 71232^2 .

It is a super-2 number, since 2×7415009280² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9031270 + ... + 9032090.

It is an arithmetic number, because the mean of its divisors is an integer number (63963519).

Almost surely, 2^7415009280 is an apocalyptic number.

7415009280 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 7415009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14967463446).

7415009280 is an abundant number, since it is smaller than the sum of its proper divisors (22519917612).

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

7415009280 is a wasteful number, since it uses less digits than its factorization.

7415009280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 7415009280 is about 86110.4481465519. The cubic root of 7415009280 is about 1950.0117711321.

The spelling of 7415009280 in words is "seven billion, four hundred fifteen million, nine thousand, two hundred eighty".