6407405177381 has 8 divisors (see below), whose sum is σ = 6900330807384. Its totient is φ = 5914486448640.

The previous prime is 6407405177363. The next prime is 6407405177387. The reversal of 6407405177381 is 1837715047046.

It can be written as a sum of positive squares in 4 ways, for example, as 412987454881 + 5994417722500 = 642641^2 + 2448350^2 .

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 6407405177381 - 2¹⁰ = 6407405176357 is a prime.

It is a super-2 number, since 2×6407405177381² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6407405177387) 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, 290201 + ... + 3591521.

It is an arithmetic number, because the mean of its divisors is an integer number (862541350923).

Almost surely, 2^{6407405177381} is an apocalyptic number.

It is an amenable number.

6407405177381 is a deficient number, since it is larger than the sum of its proper divisors (492925630003).

6407405177381 is a wasteful number, since it uses less digits than its factorization.

6407405177381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3450631.

The product of its (nonzero) digits is 3951360, while the sum is 53.

The spelling of 6407405177381 in words is "six trillion, four hundred seven billion, four hundred five million, one hundred seventy-seven thousand, three hundred eighty-one".