8340380640 has 72 divisors (see below), whose sum is σ = 28461553848. Its totient is φ = 2224101120.

The previous prime is 8340380639. The next prime is 8340380677. The reversal of 8340380640 is 460830438.

8340380640 is a `hidden beast` number, since 8 + 3 + 4 + 0 + 3 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 8340380595 and 8340380604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2894526 + ... + 2897405.

It is an arithmetic number, because the mean of its divisors is an integer number (395299359).

Almost surely, 2^8340380640 is an apocalyptic number.

8340380640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8340380640 is an abundant number, since it is smaller than the sum of its proper divisors (20121173208).

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

8340380640 is a wasteful number, since it uses less digits than its factorization.

8340380640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5791952 (or 5791941 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 8340380640 is about 91325.6844485712. The cubic root of 8340380640 is about 2027.9720127319.

The spelling of 8340380640 in words is "eight billion, three hundred forty million, three hundred eighty thousand, six hundred forty".