27638342640 has 320 divisors, whose sum is σ = 99473633280. Its totient is φ = 7045125120.

The previous prime is 27638342629. The next prime is 27638342651. The reversal of 27638342640 is 4624383672.

27638342640 is a `hidden beast` number, since 2 + 7 + 6 + 383 + 4 + 264 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27638342629) and next prime (27638342651).

It is a super-3 number, since 3×27638342640³ (a number of 32 digits) contains 333 as substring.

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, 5555194 + ... + 5560166.

It is an arithmetic number, because the mean of its divisors is an integer number (310855104).

Almost surely, 2^27638342640 is an apocalyptic number.

27638342640 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 27638342640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49736816640).

27638342640 is an abundant number, since it is smaller than the sum of its proper divisors (71835290640).

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

27638342640 is a wasteful number, since it uses less digits than its factorization.

27638342640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5109 (or 5097 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 27638342640 in words is "twenty-seven billion, six hundred thirty-eight million, three hundred forty-two thousand, six hundred forty".