13406077692 has 144 divisors (see below), whose sum is σ = 40220893440. Its totient is φ = 3824796672.

The previous prime is 13406077681. The next prime is 13406077717. The reversal of 13406077692 is 29677060431.

13406077692 is a `hidden beast` number, since 1 + 34 + 0 + 607 + 7 + 6 + 9 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8279659 + ... + 8281277.

It is an arithmetic number, because the mean of its divisors is an integer number (279311760).

Almost surely, 2^13406077692 is an apocalyptic number.

13406077692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13406077692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20110446720).

13406077692 is an abundant number, since it is smaller than the sum of its proper divisors (26814815748).

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

13406077692 is a wasteful number, since it uses less digits than its factorization.

13406077692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2862 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 13406077692 in words is "thirteen billion, four hundred six million, seventy-seven thousand, six hundred ninety-two".