7480309760 has 384 divisors, whose sum is σ = 22926758400. Its totient is φ = 2274754560.

The previous prime is 7480309693. The next prime is 7480309763. The reversal of 7480309760 is 679030847.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7480309763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41789351 + ... + 41789529.

It is an arithmetic number, because the mean of its divisors is an integer number (59705100).

Almost surely, 2^7480309760 is an apocalyptic number.

7480309760 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 7480309760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11463379200).

7480309760 is an abundant number, since it is smaller than the sum of its proper divisors (15446448640).

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

7480309760 is a wasteful number, since it uses less digits than its factorization.

7480309760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The square root of 7480309760 is about 86488.7840127262. The cubic root of 7480309760 is about 1955.7193263517.

The spelling of 7480309760 in words is "seven billion, four hundred eighty million, three hundred nine thousand, seven hundred sixty".