27679242240 has 960 divisors, whose sum is σ = 113876642880. Its totient is φ = 6370099200.

The previous prime is 27679242233. The next prime is 27679242289. The reversal of 27679242240 is 4224297672.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×27679242240² (a number of 22 digits) contains 22 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 79 ways as a sum of consecutive naturals, for example, 183306165 + ... + 183306315.

It is an arithmetic number, because the mean of its divisors is an integer number (118621503).

Almost surely, 2^27679242240 is an apocalyptic number.

27679242240 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 27679242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56938321440).

27679242240 is an abundant number, since it is smaller than the sum of its proper divisors (86197400640).

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

27679242240 is a wasteful number, since it uses less digits than its factorization.

27679242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 27679242240 in words is "twenty-seven billion, six hundred seventy-nine million, two hundred forty-two thousand, two hundred forty".