27098144640 has 576 divisors, whose sum is σ = 110552279760. Its totient is φ = 6097158144.

The previous prime is 27098144629. The next prime is 27098144663. The reversal of 27098144640 is 4644189072.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 18909364 + ... + 18910796.

Almost surely, 2^27098144640 is an apocalyptic number.

27098144640 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 27098144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55276139880).

27098144640 is an abundant number, since it is smaller than the sum of its proper divisors (83454135120).

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

27098144640 is a wasteful number, since it uses less digits than its factorization.

27098144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 27098144640 in words is "twenty-seven billion, ninety-eight million, one hundred forty-four thousand, six hundred forty".