27672760500 has 576 divisors, whose sum is σ = 105741103104. Its totient is φ = 5494368000.

The previous prime is 27672760481. The next prime is 27672760519. The reversal of 27672760500 is 506727672.

It is an interprime number because it is at equal distance from previous prime (27672760481) and next prime (27672760519).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29221027 + ... + 29221973.

It is an arithmetic number, because the mean of its divisors is an integer number (183578304).

Almost surely, 2^27672760500 is an apocalyptic number.

27672760500 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 27672760500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52870551552).

27672760500 is an abundant number, since it is smaller than the sum of its proper divisors (78068342604).

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

27672760500 is a wasteful number, since it uses less digits than its factorization.

27672760500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The spelling of 27672760500 in words is "twenty-seven billion, six hundred seventy-two million, seven hundred sixty thousand, five hundred".