7867417440 has 48 divisors (see below), whose sum is σ = 24782366448. Its totient is φ = 2097977856.

The previous prime is 7867417427. The next prime is 7867417483. The reversal of 7867417440 is 447147687.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7867417440.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 8194747 + ... + 8195706.

It is an arithmetic number, because the mean of its divisors is an integer number (516299301).

Almost surely, 2^7867417440 is an apocalyptic number.

It is an amenable number.

7867417440 is an abundant number, since it is smaller than the sum of its proper divisors (16914949008).

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

7867417440 is a wasteful number, since it uses less digits than its factorization.

7867417440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16390471 (or 16390463 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 48.

The square root of 7867417440 is about 88698.4635718117. The cubic root of 7867417440 is about 1988.8898498979.

The spelling of 7867417440 in words is "seven billion, eight hundred sixty-seven million, four hundred seventeen thousand, four hundred forty".