27140619264 has 176 divisors, whose sum is σ = 80259431040. Its totient is φ = 8084439040.

The previous prime is 27140619241. The next prime is 27140619269. The reversal of 27140619264 is 46291604172.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×27140619264² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27140619269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1986922 + ... + 2000534.

Almost surely, 2^27140619264 is an apocalyptic number.

27140619264 is a gapful number since it is divisible by the number (24) 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 27140619264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40129715520).

27140619264 is an abundant number, since it is smaller than the sum of its proper divisors (53118811776).

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

27140619264 is a wasteful number, since it uses less digits than its factorization.

27140619264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13706 (or 13688 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 27140619264 in words is "twenty-seven billion, one hundred forty million, six hundred nineteen thousand, two hundred sixty-four".