7343790480 has 240 divisors, whose sum is σ = 27544695360. Its totient is φ = 1807640064.

The previous prime is 7343790469. The next prime is 7343790533. The reversal of 7343790480 is 840973437.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×7343790480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238191 + ... + 267249.

It is an arithmetic number, because the mean of its divisors is an integer number (114769564).

Almost surely, 2^7343790480 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 7343790480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13772347680).

7343790480 is an abundant number, since it is smaller than the sum of its proper divisors (20200904880).

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

7343790480 is a wasteful number, since it uses less digits than its factorization.

7343790480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29100 (or 29082 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 7343790480 is about 85695.9186892818. The cubic root of 7343790480 is about 1943.7485957469.

The spelling of 7343790480 in words is "seven billion, three hundred forty-three million, seven hundred ninety thousand, four hundred eighty".