27380713680 has 120 divisors (see below), whose sum is σ = 92249988480. Its totient is φ = 7277986560.

The previous prime is 27380713651. The next prime is 27380713709. The reversal of 27380713680 is 8631708372.

It is an interprime number because it is at equal distance from previous prime (27380713651) and next prime (27380713709).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×27380713680² (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 23 ways as a sum of consecutive naturals, for example, 162781 + ... + 285059.

It is an arithmetic number, because the mean of its divisors is an integer number (768749904).

Almost surely, 2^27380713680 is an apocalyptic number.

27380713680 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 27380713680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46124994240).

27380713680 is an abundant number, since it is smaller than the sum of its proper divisors (64869274800).

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

27380713680 is a wasteful number, since it uses less digits than its factorization.

27380713680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122609 (or 122600 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 27380713680 in words is "twenty-seven billion, three hundred eighty million, seven hundred thirteen thousand, six hundred eighty".