406798699172767 has 16 divisors (see below), whose sum is σ = 454304212185600. Its totient is φ = 361084713235840.

The previous prime is 406798699172627. The next prime is 406798699172777. The reversal of 406798699172767 is 767271996897604.

It is a happy number.

It is not a de Polignac number, because 406798699172767 - 2¹⁵ = 406798699139999 is a prime.

It is a super-2 number, since 2×406798699172767² (a number of 30 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 (406798699172777) 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, 938738842 + ... + 939172087.

It is an arithmetic number, because the mean of its divisors is an integer number (28394013261600).

Almost surely, 2^{406798699172767} is an apocalyptic number.

406798699172767 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

406798699172767 is a deficient number, since it is larger than the sum of its proper divisors (47505513012833).

406798699172767 is a wasteful number, since it uses less digits than its factorization.

406798699172767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877911406.

The product of its (nonzero) digits is 24196548096, while the sum is 88.

The spelling of 406798699172767 in words is "four hundred six trillion, seven hundred ninety-eight billion, six hundred ninety-nine million, one hundred seventy-two thousand, seven hundred sixty-seven".