8407813407 has 16 divisors (see below), whose sum is σ = 12834362112. Its totient is φ = 4796043840.

The previous prime is 8407813373. The next prime is 8407813483. The reversal of 8407813407 is 7043187048.

8407813407 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8407813407 - 2¹⁵ = 8407780639 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8407811407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338598 + ... + 362579.

It is an arithmetic number, because the mean of its divisors is an integer number (802147632).

Almost surely, 2^8407813407 is an apocalyptic number.

8407813407 is a deficient number, since it is larger than the sum of its proper divisors (4426548705).

8407813407 is a wasteful number, since it uses less digits than its factorization.

8407813407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701758.

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 8407813407 is about 91694.1296212577. The cubic root of 8407813407 is about 2033.4227975477.

The spelling of 8407813407 in words is "eight billion, four hundred seven million, eight hundred thirteen thousand, four hundred seven".