6407074688401 has 8 divisors (see below), whose sum is σ = 6411770716104. Its totient is φ = 6402378977280.

The previous prime is 6407074688387. The next prime is 6407074688411. The reversal of 6407074688401 is 1048864707046.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3421094144400 + 2985980544001 = 1849620^2 + 1727999^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 6407074688401 - 2¹⁷ = 6407074557329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6407074688411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53593245 + ... + 53712661.

It is an arithmetic number, because the mean of its divisors is an integer number (801471339513).

Almost surely, 2^{6407074688401} is an apocalyptic number.

It is an amenable number.

6407074688401 is a deficient number, since it is larger than the sum of its proper divisors (4696027703).

6407074688401 is a wasteful number, since it uses less digits than its factorization.

6407074688401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158291.

The product of its (nonzero) digits is 7225344, while the sum is 55.

The spelling of 6407074688401 in words is "six trillion, four hundred seven billion, seventy-four million, six hundred eighty-eight thousand, four hundred one".