27738708480 has 480 divisors, whose sum is σ = 110353186944. Its totient is φ = 6307872768.

The previous prime is 27738708467. The next prime is 27738708493. The reversal of 27738708480 is 8480783772.

It is a happy number.

27738708480 is a `hidden beast` number, since 27 + 73 + 8 + 70 + 8 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (27738708467) and next prime (27738708493).

It is a tau number, because it is divible by the number of its divisors (480).

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, 47254747 + ... + 47255333.

Almost surely, 2^27738708480 is an apocalyptic number.

27738708480 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 27738708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55176593472).

27738708480 is an abundant number, since it is smaller than the sum of its proper divisors (82614478464).

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

27738708480 is a wasteful number, since it uses less digits than its factorization.

27738708480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 27738708480 in words is "twenty-seven billion, seven hundred thirty-eight million, seven hundred eight thousand, four hundred eighty".