7834321440 has 144 divisors (see below), whose sum is σ = 29165101056. Its totient is φ = 1899225600.

The previous prime is 7834321423. The next prime is 7834321459. The reversal of 7834321440 is 441234387.

7834321440 is a `hidden beast` number, since 7 + 83 + 432 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×7834321440² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 7834321395 and 7834321404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231456 + ... + 263135.

It is an arithmetic number, because the mean of its divisors is an integer number (202535424).

Almost surely, 2^7834321440 is an apocalyptic number.

It is an amenable number.

7834321440 is an abundant number, since it is smaller than the sum of its proper divisors (21330779616).

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

7834321440 is a wasteful number, since it uses less digits than its factorization.

7834321440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494623 (or 494612 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 7834321440 is about 88511.7022771566. The cubic root of 7834321440 is about 1986.0970310049.

The spelling of 7834321440 in words is "seven billion, eight hundred thirty-four million, three hundred twenty-one thousand, four hundred forty".