27754429440 has 352 divisors, whose sum is σ = 91599745536. Its totient is φ = 7169310720.

The previous prime is 27754429433. The next prime is 27754429453. The reversal of 27754429440 is 4492445772.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 27754429440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83850075 + ... + 83850405.

Almost surely, 2^27754429440 is an apocalyptic number.

27754429440 is a gapful number since it is divisible by the number (20) 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 27754429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45799872768).

27754429440 is an abundant number, since it is smaller than the sum of its proper divisors (63845316096).

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

27754429440 is a wasteful number, since it uses less digits than its factorization.

27754429440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 27754429440 in words is "twenty-seven billion, seven hundred fifty-four million, four hundred twenty-nine thousand, four hundred forty".