27631607080 has 128 divisors (see below), whose sum is σ = 77946624000. Its totient is φ = 8564163840.

The previous prime is 27631607077. The next prime is 27631607089. The reversal of 27631607080 is 8070613672.

It is a super-2 number, since 2×27631607080² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (27631607089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526261 + ... + 576379.

It is an arithmetic number, because the mean of its divisors is an integer number (608958000).

Almost surely, 2^27631607080 is an apocalyptic number.

27631607080 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 27631607080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38973312000).

27631607080 is an abundant number, since it is smaller than the sum of its proper divisors (50315016920).

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

27631607080 is a wasteful number, since it uses less digits than its factorization.

27631607080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50327 (or 50323 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 27631607080 in words is "twenty-seven billion, six hundred thirty-one million, six hundred seven thousand, eighty".