27837296340 has 384 divisors, whose sum is σ = 99992309760. Its totient is φ = 5632892928.

The previous prime is 27837296303. The next prime is 27837296351. The reversal of 27837296340 is 4369273872.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21297967 + ... + 21299273.

It is an arithmetic number, because the mean of its divisors is an integer number (260396640).

Almost surely, 2^27837296340 is an apocalyptic number.

27837296340 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 27837296340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49996154880).

27837296340 is an abundant number, since it is smaller than the sum of its proper divisors (72155013420).

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

27837296340 is a wasteful number, since it uses less digits than its factorization.

27837296340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 51.

The spelling of 27837296340 in words is "twenty-seven billion, eight hundred thirty-seven million, two hundred ninety-six thousand, three hundred forty".