7480408320 has 720 divisors, whose sum is σ = 33406547328. Its totient is φ = 1552711680.

The previous prime is 7480408307. The next prime is 7480408333. The reversal of 7480408320 is 238040847.

It is an interprime number because it is at equal distance from previous prime (7480408307) and next prime (7480408333).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 7982892 + ... + 7983828.

Almost surely, 2^7480408320 is an apocalyptic number.

7480408320 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 7480408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16703273664).

7480408320 is an abundant number, since it is smaller than the sum of its proper divisors (25926139008).

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

7480408320 is a wasteful number, since it uses less digits than its factorization.

7480408320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 7480408320 is about 86489.3537957129. The cubic root of 7480408320 is about 1955.7279157844.

The spelling of 7480408320 in words is "seven billion, four hundred eighty million, four hundred eight thousand, three hundred twenty".