1679626508406 has 512 divisors, whose sum is σ = 4662148202496. Its totient is φ = 390168576000.

The previous prime is 1679626508393. The next prime is 1679626508407. The reversal of 1679626508406 is 6048056269761.

It is a super-2 number, since 2×1679626508406² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1679626508406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1679626508407) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2620321846 + ... + 2620322486.

It is an arithmetic number, because the mean of its divisors is an integer number (9105758208).

Almost surely, 2^{1679626508406} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1679626508406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331074101248).

1679626508406 is an abundant number, since it is smaller than the sum of its proper divisors (2982521694090).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1679626508406 is a wasteful number, since it uses less digits than its factorization.

1679626508406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916.

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 1679626508406 in words is "one trillion, six hundred seventy-nine billion, six hundred twenty-six million, five hundred eight thousand, four hundred six".