6407074688399 has 128 divisors (see below), whose sum is σ = 8534658908160. Its totient is φ = 4662812246400.

The previous prime is 6407074688387. The next prime is 6407074688411. The reversal of 6407074688399 is 9938864707046.

6407074688399 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 2531220²-1.

It is an interprime number because it is at equal distance from previous prime (6407074688387) and next prime (6407074688411).

It is not a de Polignac number, because 6407074688399 - 2³² = 6402779721103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (71).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6407074688299) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9722419532 + ... + 9722420190.

It is an arithmetic number, because the mean of its divisors is an integer number (66677022720).

Almost surely, 2^{6407074688399} is an apocalyptic number.

6407074688399 is a deficient number, since it is larger than the sum of its proper divisors (2127584219761).

6407074688399 is a wasteful number, since it uses less digits than its factorization.

6407074688399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401.

The product of its (nonzero) digits is 438939648, while the sum is 71.

The spelling of 6407074688399 in words is "six trillion, four hundred seven billion, seventy-four million, six hundred eighty-eight thousand, three hundred ninety-nine".