27773998626240 has 1008 divisors, whose sum is σ = 104104897565760. Its totient is φ = 6787137208320.

The previous prime is 27773998626167. The next prime is 27773998626289. The reversal of 27773998626240 is 4262689937772.

27773998626240 is a `hidden beast` number, since 277 + 7 + 3 + 9 + 98 + 6 + 26 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3674291581 + ... + 3674299139.

It is an arithmetic number, because the mean of its divisors is an integer number (103278668220).

Almost surely, 2^{27773998626240} is an apocalyptic number.

27773998626240 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 27773998626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52052448782880).

27773998626240 is an abundant number, since it is smaller than the sum of its proper divisors (76330898939520).

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

27773998626240 is a wasteful number, since it uses less digits than its factorization.

27773998626240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7718 (or 7676 counting only the distinct ones).

The product of its (nonzero) digits is 768144384, while the sum is 72.

The spelling of 27773998626240 in words is "twenty-seven trillion, seven hundred seventy-three billion, nine hundred ninety-eight million, six hundred twenty-six thousand, two hundred forty".