27752156640 has 144 divisors (see below), whose sum is σ = 101989244448. Its totient is φ = 6831295488.

The previous prime is 27752156623. The next prime is 27752156647. The reversal of 27752156640 is 4665125772.

27752156640 is a `hidden beast` number, since 2 + 77 + 521 + 56 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27752156647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 722524 + ... + 759963.

It is an arithmetic number, because the mean of its divisors is an integer number (708258642).

Almost surely, 2^27752156640 is an apocalyptic number.

27752156640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27752156640 is an abundant number, since it is smaller than the sum of its proper divisors (74237087808).

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

27752156640 is a wasteful number, since it uses less digits than its factorization.

27752156640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482521 (or 1482510 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 27752156640 in words is "twenty-seven billion, seven hundred fifty-two million, one hundred fifty-six thousand, six hundred forty".