27969436404 has 480 divisors, whose sum is σ = 94420795392. Its totient is φ = 7021728000.

The previous prime is 27969436399. The next prime is 27969436409. The reversal of 27969436404 is 40463496972.

27969436404 is a `hidden beast` number, since 279 + 6 + 9 + 4 + 364 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (27969436399) and next prime (27969436409).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27969436409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 64894069 + ... + 64894499.

Almost surely, 2^27969436404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27969436404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47210397696).

27969436404 is an abundant number, since it is smaller than the sum of its proper divisors (66451358988).

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

27969436404 is a wasteful number, since it uses less digits than its factorization.

27969436404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 27969436404 in words is "twenty-seven billion, nine hundred sixty-nine million, four hundred thirty-six thousand, four hundred four".