13607800416 has 480 divisors, whose sum is σ = 48909655872. Its totient is φ = 3622993920.

The previous prime is 13607800391. The next prime is 13607800421. The reversal of 13607800416 is 61400870631.

13607800416 is a `hidden beast` number, since 1 + 3 + 607 + 8 + 0 + 0 + 41 + 6 = 666.

It is a super-3 number, since 3×13607800416³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48426196 + ... + 48426476.

Almost surely, 2^13607800416 is an apocalyptic number.

13607800416 is a gapful number since it is divisible by the number (16) 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 13607800416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24454827936).

13607800416 is an abundant number, since it is smaller than the sum of its proper divisors (35301855456).

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

13607800416 is a wasteful number, since it uses less digits than its factorization.

13607800416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 13607800416 in words is "thirteen billion, six hundred seven million, eight hundred thousand, four hundred sixteen".