6322416345 has 144 divisors (see below), whose sum is σ = 13498056000. Its totient is φ = 2722035456.

The previous prime is 6322416323. The next prime is 6322416367. The reversal of 6322416345 is 5436142236.

6322416345 is a `hidden beast` number, since 632 + 2 + 4 + 16 + 3 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (6322416323) and next prime (6322416367).

It is not a de Polignac number, because 6322416345 - 2¹⁰ = 6322415321 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9593626 + ... + 9594284.

It is an arithmetic number, because the mean of its divisors is an integer number (93736500).

Almost surely, 2^6322416345 is an apocalyptic number.

It is an amenable number.

6322416345 is an abundant number, since it is smaller than the sum of its proper divisors (7175639655).

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

6322416345 is a wasteful number, since it uses less digits than its factorization.

6322416345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 922 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 6322416345 is about 79513.6236440020. The cubic root of 6322416345 is about 1849.1026907293.

The spelling of 6322416345 in words is "six billion, three hundred twenty-two million, four hundred sixteen thousand, three hundred forty-five".