27277620480 has 576 divisors, whose sum is σ = 106649706240. Its totient is φ = 6601605120.

The previous prime is 27277620473. The next prime is 27277620493. The reversal of 27277620480 is 8402677272.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45999064 + ... + 45999656.

It is an arithmetic number, because the mean of its divisors is an integer number (185155740).

Almost surely, 2^27277620480 is an apocalyptic number.

27277620480 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 27277620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53324853120).

27277620480 is an abundant number, since it is smaller than the sum of its proper divisors (79372085760).

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

27277620480 is an equidigital number, since it uses as much as digits as its factorization.

27277620480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 27277620480 in words is "twenty-seven billion, two hundred seventy-seven million, six hundred twenty thousand, four hundred eighty".