7480962720 has 1152 divisors, whose sum is σ = 34644879360. Its totient is φ = 1423319040.

The previous prime is 7480962691. The next prime is 7480962721. The reversal of 7480962720 is 272690847.

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 (7480962721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 111656127 + ... + 111656193.

It is an arithmetic number, because the mean of its divisors is an integer number (30073680).

Almost surely, 2^7480962720 is an apocalyptic number.

7480962720 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 7480962720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17322439680).

7480962720 is an abundant number, since it is smaller than the sum of its proper divisors (27163916640).

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

7480962720 is a wasteful number, since it uses less digits than its factorization.

7480962720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 7480962720 is about 86492.5587550744. The cubic root of 7480962720 is about 1955.7762299372.

The spelling of 7480962720 in words is "seven billion, four hundred eighty million, nine hundred sixty-two thousand, seven hundred twenty".