27764527000 has 192 divisors, whose sum is σ = 77009343840. Its totient is φ = 9338784000.

The previous prime is 27764526983. The next prime is 27764527001. The reversal of 27764527000 is 72546772.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27764527001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2591655 + ... + 2602345.

Almost surely, 2^27764527000 is an apocalyptic number.

27764527000 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 27764527000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38504671920).

27764527000 is an abundant number, since it is smaller than the sum of its proper divisors (49244816840).

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

27764527000 is a wasteful number, since it uses less digits than its factorization.

27764527000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10779 (or 10758 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 40.

The spelling of 27764527000 in words is "twenty-seven billion, seven hundred sixty-four million, five hundred twenty-seven thousand".