27079203266640 has 1920 divisors, whose sum is σ = 116433547776000. Its totient is φ = 5830215874560.

The previous prime is 27079203266459. The next prime is 27079203266657. The reversal of 27079203266640 is 4666230297072.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 26731690774 + ... + 26731691786.

It is an arithmetic number, because the mean of its divisors is an integer number (60642472800).

Almost surely, 2^{27079203266640} is an apocalyptic number.

27079203266640 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 27079203266640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58216773888000).

27079203266640 is an abundant number, since it is smaller than the sum of its proper divisors (89354344509360).

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

27079203266640 is a wasteful number, since it uses less digits than its factorization.

27079203266640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 27079203266640 in words is "twenty-seven trillion, seventy-nine billion, two hundred three million, two hundred sixty-six thousand, six hundred forty".