7340461840 has 160 divisors (see below), whose sum is σ = 17912148192. Its totient is φ = 2795520000.

The previous prime is 7340461831. The next prime is 7340461853. The reversal of 7340461840 is 481640437.

It can be written as a sum of positive squares in 16 ways, for example, as 516380176 + 6824081664 = 22724^2 + 82608^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7340461840.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26122500 + ... + 26122780.

Almost surely, 2^7340461840 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 7340461840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8956074096).

7340461840 is an abundant number, since it is smaller than the sum of its proper divisors (10571686352).

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

7340461840 is a wasteful number, since it uses less digits than its factorization.

7340461840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 7340461840 is about 85676.4952597852. The cubic root of 7340461840 is about 1943.4548774405.

The spelling of 7340461840 in words is "seven billion, three hundred forty million, four hundred sixty-one thousand, eight hundred forty".