7480218240 has 1024 divisors, whose sum is σ = 31726080000. Its totient is φ = 1646346240.

The previous prime is 7480218139. The next prime is 7480218259. The reversal of 7480218240 is 428120847.

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

It is a junction number, because it is equal to n+sod(n) for n = 7480218195 and 7480218204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 126783331 + ... + 126783389.

It is an arithmetic number, because the mean of its divisors is an integer number (30982500).

Almost surely, 2^7480218240 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 7480218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15863040000).

7480218240 is an abundant number, since it is smaller than the sum of its proper divisors (24245861760).

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

7480218240 is a wasteful number, since it uses less digits than its factorization.

7480218240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 7480218240 is about 86488.2549251631. The cubic root of 7480218240 is about 1955.7113503825.

The spelling of 7480218240 in words is "seven billion, four hundred eighty million, two hundred eighteen thousand, two hundred forty".